Finding the Fourth Proportional to 1,150.78, 1,588.02 and 653.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.78 : 1,588.02 = 653.41 : x
2. Step 2: Convert to fraction form
   1,150.78/1,588.02 = 653.41/x
3. Step 3: Cross multiply
   1,150.78x = 1,588.02 × 653.41
4. Step 4: Simplify right side
   1,150.78x = 1,037,628.15
5. Step 5: Solve for x
   x = 1,037,628.15/1,150.78
6. Step 6: Final answer
   x = 901.67