Finding the Fourth Proportional to 1,123.78, 1,550.80 and 658.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.78 : 1,550.80 = 658.02 : x
2. Step 2: Convert to fraction form
   1,123.78/1,550.80 = 658.02/x
3. Step 3: Cross multiply
   1,123.78x = 1,550.80 × 658.02
4. Step 4: Simplify right side
   1,123.78x = 1,020,457.42
5. Step 5: Solve for x
   x = 1,020,457.42/1,123.78
6. Step 6: Final answer
   x = 908.06