Finding the Fourth Proportional to 1,086.34, 1,499.15 and 588.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.34 : 1,499.15 = 588.98 : x
2. Step 2: Convert to fraction form
   1,086.34/1,499.15 = 588.98/x
3. Step 3: Cross multiply
   1,086.34x = 1,499.15 × 588.98
4. Step 4: Simplify right side
   1,086.34x = 882,971.54
5. Step 5: Solve for x
   x = 882,971.54/1,086.34
6. Step 6: Final answer
   x = 812.79