Finding the Fourth Proportional to 1,151.69, 1,589.27 and 654.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.69 : 1,589.27 = 654.26 : x
2. Step 2: Convert to fraction form
   1,151.69/1,589.27 = 654.26/x
3. Step 3: Cross multiply
   1,151.69x = 1,589.27 × 654.26
4. Step 4: Simplify right side
   1,151.69x = 1,039,784.57
5. Step 5: Solve for x
   x = 1,039,784.57/1,151.69
6. Step 6: Final answer
   x = 902.84