Finding the Fourth Proportional to 2,978.16, 4,465.68 and 1,029.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.16 : 4,465.68 = 1,029.84 : x
2. Step 2: Convert to fraction form
   2,978.16/4,465.68 = 1,029.84/x
3. Step 3: Cross multiply
   2,978.16x = 4,465.68 × 1,029.84
4. Step 4: Simplify right side
   2,978.16x = 4,598,935.89
5. Step 5: Solve for x
   x = 4,598,935.89/2,978.16
6. Step 6: Final answer
   x = 1,544.22