Finding the Fourth Proportional to 1,085.60, 1,498.12 and 588.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.60 : 1,498.12 = 588.23 : x
2. Step 2: Convert to fraction form
   1,085.60/1,498.12 = 588.23/x
3. Step 3: Cross multiply
   1,085.60x = 1,498.12 × 588.23
4. Step 4: Simplify right side
   1,085.60x = 881,241.40
5. Step 5: Solve for x
   x = 881,241.40/1,085.60
6. Step 6: Final answer
   x = 811.76