Finding the Fourth Proportional to 1,151.57, 1,589.18 and 654.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.57 : 1,589.18 = 654.20 : x
2. Step 2: Convert to fraction form
   1,151.57/1,589.18 = 654.20/x
3. Step 3: Cross multiply
   1,151.57x = 1,589.18 × 654.20
4. Step 4: Simplify right side
   1,151.57x = 1,039,641.56
5. Step 5: Solve for x
   x = 1,039,641.56/1,151.57
6. Step 6: Final answer
   x = 902.80