Finding the Fourth Proportional to 1,086.16, 1,498.90 and 588.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.16 : 1,498.90 = 588.81 : x
2. Step 2: Convert to fraction form
   1,086.16/1,498.90 = 588.81/x
3. Step 3: Cross multiply
   1,086.16x = 1,498.90 × 588.81
4. Step 4: Simplify right side
   1,086.16x = 882,569.58
5. Step 5: Solve for x
   x = 882,569.58/1,086.16
6. Step 6: Final answer
   x = 812.56