Finding the Fourth Proportional to 1,151.02, 1,588.23 and 646.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.02 : 1,588.23 = 646.78 : x
2. Step 2: Convert to fraction form
   1,151.02/1,588.23 = 646.78/x
3. Step 3: Cross multiply
   1,151.02x = 1,588.23 × 646.78
4. Step 4: Simplify right side
   1,151.02x = 1,027,233.85
5. Step 5: Solve for x
   x = 1,027,233.85/1,151.02
6. Step 6: Final answer
   x = 892.45