Finding the Fourth Proportional to 1,106.50, 1,658.52 and 559.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.50 : 1,658.52 = 559.18 : x
2. Step 2: Convert to fraction form
   1,106.50/1,658.52 = 559.18/x
3. Step 3: Cross multiply
   1,106.50x = 1,658.52 × 559.18
4. Step 4: Simplify right side
   1,106.50x = 927,411.21
5. Step 5: Solve for x
   x = 927,411.21/1,106.50
6. Step 6: Final answer
   x = 838.15