Finding the Fourth Proportional to 1,085.92, 1,498.55 and 588.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.92 : 1,498.55 = 588.55 : x
2. Step 2: Convert to fraction form
   1,085.92/1,498.55 = 588.55/x
3. Step 3: Cross multiply
   1,085.92x = 1,498.55 × 588.55
4. Step 4: Simplify right side
   1,085.92x = 881,964.91
5. Step 5: Solve for x
   x = 881,964.91/1,085.92
6. Step 6: Final answer
   x = 812.18