Finding the Fourth Proportional to 1,086.16, 1,498.92 and 588.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.16 : 1,498.92 = 588.80 : x
2. Step 2: Convert to fraction form
   1,086.16/1,498.92 = 588.80/x
3. Step 3: Cross multiply
   1,086.16x = 1,498.92 × 588.80
4. Step 4: Simplify right side
   1,086.16x = 882,564.10
5. Step 5: Solve for x
   x = 882,564.10/1,086.16
6. Step 6: Final answer
   x = 812.55