Finding the Fourth Proportional to 1,443.76, 2,165.42 and 469.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,443.76 : 2,165.42 = 469.72 : x
2. Step 2: Convert to fraction form
   1,443.76/2,165.42 = 469.72/x
3. Step 3: Cross multiply
   1,443.76x = 2,165.42 × 469.72
4. Step 4: Simplify right side
   1,443.76x = 1,017,141.08
5. Step 5: Solve for x
   x = 1,017,141.08/1,443.76
6. Step 6: Final answer
   x = 704.51