Finding the Fourth Proportional to 1,085.92, 1,498.58 and 588.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.92 : 1,498.58 = 588.56 : x
2. Step 2: Convert to fraction form
   1,085.92/1,498.58 = 588.56/x
3. Step 3: Cross multiply
   1,085.92x = 1,498.58 × 588.56
4. Step 4: Simplify right side
   1,085.92x = 882,004.24
5. Step 5: Solve for x
   x = 882,004.24/1,085.92
6. Step 6: Final answer
   x = 812.22