Finding the Fourth Proportional to 1,105.52, 1,656.90 and 557.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.52 : 1,656.90 = 557.84 : x
2. Step 2: Convert to fraction form
   1,105.52/1,656.90 = 557.84/x
3. Step 3: Cross multiply
   1,105.52x = 1,656.90 × 557.84
4. Step 4: Simplify right side
   1,105.52x = 924,285.10
5. Step 5: Solve for x
   x = 924,285.10/1,105.52
6. Step 6: Final answer
   x = 836.06