Finding the Fourth Proportional to 1,086.02, 1,498.71 and 588.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.02 : 1,498.71 = 588.66 : x
2. Step 2: Convert to fraction form
   1,086.02/1,498.71 = 588.66/x
3. Step 3: Cross multiply
   1,086.02x = 1,498.71 × 588.66
4. Step 4: Simplify right side
   1,086.02x = 882,230.63
5. Step 5: Solve for x
   x = 882,230.63/1,086.02
6. Step 6: Final answer
   x = 812.35