Finding the Fourth Proportional to 1,007.67, 1,390.49 and 588.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.67 : 1,390.49 = 588.29 : x
2. Step 2: Convert to fraction form
   1,007.67/1,390.49 = 588.29/x
3. Step 3: Cross multiply
   1,007.67x = 1,390.49 × 588.29
4. Step 4: Simplify right side
   1,007.67x = 818,001.47
5. Step 5: Solve for x
   x = 818,001.47/1,007.67
6. Step 6: Final answer
   x = 811.78