Finding the Fourth Proportional to 1,018.20, 1,526.58 and 725.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.20 : 1,526.58 = 725.88 : x
2. Step 2: Convert to fraction form
   1,018.20/1,526.58 = 725.88/x
3. Step 3: Cross multiply
   1,018.20x = 1,526.58 × 725.88
4. Step 4: Simplify right side
   1,018.20x = 1,108,113.89
5. Step 5: Solve for x
   x = 1,108,113.89/1,018.20
6. Step 6: Final answer
   x = 1,088.31