Finding the Fourth Proportional to 1,151.50, 1,588.95 and 653.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.50 : 1,588.95 = 653.98 : x
2. Step 2: Convert to fraction form
   1,151.50/1,588.95 = 653.98/x
3. Step 3: Cross multiply
   1,151.50x = 1,588.95 × 653.98
4. Step 4: Simplify right side
   1,151.50x = 1,039,141.52
5. Step 5: Solve for x
   x = 1,039,141.52/1,151.50
6. Step 6: Final answer
   x = 902.42