Finding the Fourth Proportional to 1,032.50, 1,424.50 and 590.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.50 : 1,424.50 = 590.09 : x
2. Step 2: Convert to fraction form
   1,032.50/1,424.50 = 590.09/x
3. Step 3: Cross multiply
   1,032.50x = 1,424.50 × 590.09
4. Step 4: Simplify right side
   1,032.50x = 840,574.61
5. Step 5: Solve for x
   x = 840,574.61/1,032.50
6. Step 6: Final answer
   x = 814.12