Finding the Fourth Proportional to 1,175.31, 1,760.55 and 588.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.31 : 1,760.55 = 588.57 : x
2. Step 2: Convert to fraction form
   1,175.31/1,760.55 = 588.57/x
3. Step 3: Cross multiply
   1,175.31x = 1,760.55 × 588.57
4. Step 4: Simplify right side
   1,175.31x = 1,036,206.91
5. Step 5: Solve for x
   x = 1,036,206.91/1,175.31
6. Step 6: Final answer
   x = 881.65