Finding the Fourth Proportional to 1,105.38, 1,656.86 and 557.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.38 : 1,656.86 = 557.42 : x
2. Step 2: Convert to fraction form
   1,105.38/1,656.86 = 557.42/x
3. Step 3: Cross multiply
   1,105.38x = 1,656.86 × 557.42
4. Step 4: Simplify right side
   1,105.38x = 923,555.83
5. Step 5: Solve for x
   x = 923,555.83/1,105.38
6. Step 6: Final answer
   x = 835.51