Finding the Fourth Proportional to 1,009.88, 1,393.50 and 590.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.88 : 1,393.50 = 590.15 : x
2. Step 2: Convert to fraction form
   1,009.88/1,393.50 = 590.15/x
3. Step 3: Cross multiply
   1,009.88x = 1,393.50 × 590.15
4. Step 4: Simplify right side
   1,009.88x = 822,367.06
5. Step 5: Solve for x
   x = 822,367.06/1,009.88
6. Step 6: Final answer
   x = 814.33