Finding the Fourth Proportional to 1,085.61, 1,498.13 and 588.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.61 : 1,498.13 = 588.25 : x
2. Step 2: Convert to fraction form
   1,085.61/1,498.13 = 588.25/x
3. Step 3: Cross multiply
   1,085.61x = 1,498.13 × 588.25
4. Step 4: Simplify right side
   1,085.61x = 881,280.19
5. Step 5: Solve for x
   x = 881,280.19/1,085.61
6. Step 6: Final answer
   x = 811.79