Finding the Fourth Proportional to 1,086.09, 1,498.80 and 588.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.09 : 1,498.80 = 588.72 : x
2. Step 2: Convert to fraction form
   1,086.09/1,498.80 = 588.72/x
3. Step 3: Cross multiply
   1,086.09x = 1,498.80 × 588.72
4. Step 4: Simplify right side
   1,086.09x = 882,373.54
5. Step 5: Solve for x
   x = 882,373.54/1,086.09
6. Step 6: Final answer
   x = 812.43