Finding the Fourth Proportional to 1,025.02, 1,412.83 and 725.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.02 : 1,412.83 = 725.89 : x
2. Step 2: Convert to fraction form
   1,025.02/1,412.83 = 725.89/x
3. Step 3: Cross multiply
   1,025.02x = 1,412.83 × 725.89
4. Step 4: Simplify right side
   1,025.02x = 1,025,554.20
5. Step 5: Solve for x
   x = 1,025,554.20/1,025.02
6. Step 6: Final answer
   x = 1,000.52