Finding the Fourth Proportional to 781.72, 1,078.72 and 432.42

Step by Step Solution

1. Step 1: Write the proportion equation
   781.72 : 1,078.72 = 432.42 : x
2. Step 2: Convert to fraction form
   781.72/1,078.72 = 432.42/x
3. Step 3: Cross multiply
   781.72x = 1,078.72 × 432.42
4. Step 4: Simplify right side
   781.72x = 466,460.10
5. Step 5: Solve for x
   x = 466,460.10/781.72
6. Step 6: Final answer
   x = 596.71