Finding the Fourth Proportional to 456,429.76, 684,352.96 and 219,300.64

Step by Step Solution

1. Step 1: Write the proportion equation
   456,429.76 : 684,352.96 = 219,300.64 : x
2. Step 2: Convert to fraction form
   456,429.76/684,352.96 = 219,300.64/x
3. Step 3: Cross multiply
   456,429.76x = 684,352.96 × 219,300.64
4. Step 4: Simplify right side
   456,429.76x = 150,079,042,113.89
5. Step 5: Solve for x
   x = 150,079,042,113.89/456,429.76
6. Step 6: Final answer
   x = 328,810.82