Finding the Fourth Proportional to 1,151.53, 1,588.87 and 654.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.53 : 1,588.87 = 654.05 : x
2. Step 2: Convert to fraction form
   1,151.53/1,588.87 = 654.05/x
3. Step 3: Cross multiply
   1,151.53x = 1,588.87 × 654.05
4. Step 4: Simplify right side
   1,151.53x = 1,039,200.42
5. Step 5: Solve for x
   x = 1,039,200.42/1,151.53
6. Step 6: Final answer
   x = 902.45