Finding the Fourth Proportional to 1,150.96, 1,588.36 and 653.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.96 : 1,588.36 = 653.62 : x
2. Step 2: Convert to fraction form
   1,150.96/1,588.36 = 653.62/x
3. Step 3: Cross multiply
   1,150.96x = 1,588.36 × 653.62
4. Step 4: Simplify right side
   1,150.96x = 1,038,182.46
5. Step 5: Solve for x
   x = 1,038,182.46/1,150.96
6. Step 6: Final answer
   x = 902.01