Finding the Fourth Proportional to 1,105.43, 1,656.75 and 585.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.43 : 1,656.75 = 585.34 : x
2. Step 2: Convert to fraction form
   1,105.43/1,656.75 = 585.34/x
3. Step 3: Cross multiply
   1,105.43x = 1,656.75 × 585.34
4. Step 4: Simplify right side
   1,105.43x = 969,753.76
5. Step 5: Solve for x
   x = 969,753.76/1,105.43
6. Step 6: Final answer
   x = 877.27