Finding the Fourth Proportional to 1,085.61, 1,498.16 and 588.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.61 : 1,498.16 = 588.26 : x
2. Step 2: Convert to fraction form
   1,085.61/1,498.16 = 588.26/x
3. Step 3: Cross multiply
   1,085.61x = 1,498.16 × 588.26
4. Step 4: Simplify right side
   1,085.61x = 881,297.17
5. Step 5: Solve for x
   x = 881,297.17/1,085.61
6. Step 6: Final answer
   x = 811.80