Finding the Fourth Proportional to 1,506.16, 2,257.72 and 725.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.16 : 2,257.72 = 725.02 : x
2. Step 2: Convert to fraction form
   1,506.16/2,257.72 = 725.02/x
3. Step 3: Cross multiply
   1,506.16x = 2,257.72 × 725.02
4. Step 4: Simplify right side
   1,506.16x = 1,636,892.15
5. Step 5: Solve for x
   x = 1,636,892.15/1,506.16
6. Step 6: Final answer
   x = 1,086.80