Finding the Fourth Proportional to 1,526.43, 2,288.77 and 1,006.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.43 : 2,288.77 = 1,006.72 : x
2. Step 2: Convert to fraction form
   1,526.43/2,288.77 = 1,006.72/x
3. Step 3: Cross multiply
   1,526.43x = 2,288.77 × 1,006.72
4. Step 4: Simplify right side
   1,526.43x = 2,304,150.53
5. Step 5: Solve for x
   x = 2,304,150.53/1,526.43
6. Step 6: Final answer
   x = 1,509.50