Finding the Fourth Proportional to 1,086.18, 1,498.91 and 588.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.18 : 1,498.91 = 588.80 : x
2. Step 2: Convert to fraction form
   1,086.18/1,498.91 = 588.80/x
3. Step 3: Cross multiply
   1,086.18x = 1,498.91 × 588.80
4. Step 4: Simplify right side
   1,086.18x = 882,559.01
5. Step 5: Solve for x
   x = 882,559.01/1,086.18
6. Step 6: Final answer
   x = 812.54