Finding the Fourth Proportional to 1,106.02, 1,658.71 and 550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.02 : 1,658.71 = 550.50 : x
2. Step 2: Convert to fraction form
   1,106.02/1,658.71 = 550.50/x
3. Step 3: Cross multiply
   1,106.02x = 1,658.71 × 550.50
4. Step 4: Simplify right side
   1,106.02x = 913,119.86
5. Step 5: Solve for x
   x = 913,119.86/1,106.02
6. Step 6: Final answer
   x = 825.59