Finding the Fourth Proportional to 1,151.85, 1,589.32 and 654.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.85 : 1,589.32 = 654.31 : x
2. Step 2: Convert to fraction form
   1,151.85/1,589.32 = 654.31/x
3. Step 3: Cross multiply
   1,151.85x = 1,589.32 × 654.31
4. Step 4: Simplify right side
   1,151.85x = 1,039,910.77
5. Step 5: Solve for x
   x = 1,039,910.77/1,151.85
6. Step 6: Final answer
   x = 902.81