Finding the Fourth Proportional to 17,665.14, 24,384.84 and 10,590.20

Step by Step Solution

1. Step 1: Write the proportion equation
   17,665.14 : 24,384.84 = 10,590.20 : x
2. Step 2: Convert to fraction form
   17,665.14/24,384.84 = 10,590.20/x
3. Step 3: Cross multiply
   17,665.14x = 24,384.84 × 10,590.20
4. Step 4: Simplify right side
   17,665.14x = 258,240,332.57
5. Step 5: Solve for x
   x = 258,240,332.57/17,665.14
6. Step 6: Final answer
   x = 14,618.64