Finding the Fourth Proportional to 1,085.74, 1,498.31 and 588.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.74 : 1,498.31 = 588.38 : x
2. Step 2: Convert to fraction form
   1,085.74/1,498.31 = 588.38/x
3. Step 3: Cross multiply
   1,085.74x = 1,498.31 × 588.38
4. Step 4: Simplify right side
   1,085.74x = 881,567.41
5. Step 5: Solve for x
   x = 881,567.41/1,085.74
6. Step 6: Final answer
   x = 811.95