Finding the Fourth Proportional to 1,151.38, 1,588.98 and 654.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.38 : 1,588.98 = 654.02 : x
2. Step 2: Convert to fraction form
   1,151.38/1,588.98 = 654.02/x
3. Step 3: Cross multiply
   1,151.38x = 1,588.98 × 654.02
4. Step 4: Simplify right side
   1,151.38x = 1,039,224.70
5. Step 5: Solve for x
   x = 1,039,224.70/1,151.38
6. Step 6: Final answer
   x = 902.59