Finding the Fourth Proportional to 1,085.86, 1,498.49 and 588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.86 : 1,498.49 = 588.50 : x
2. Step 2: Convert to fraction form
   1,085.86/1,498.49 = 588.50/x
3. Step 3: Cross multiply
   1,085.86x = 1,498.49 × 588.50
4. Step 4: Simplify right side
   1,085.86x = 881,861.37
5. Step 5: Solve for x
   x = 881,861.37/1,085.86
6. Step 6: Final answer
   x = 812.13