Finding the Fourth Proportional to 9,165.40, 13,744.00 and 2,590.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.40 : 13,744.00 = 2,590.05 : x
2. Step 2: Convert to fraction form
   9,165.40/13,744.00 = 2,590.05/x
3. Step 3: Cross multiply
   9,165.40x = 13,744.00 × 2,590.05
4. Step 4: Simplify right side
   9,165.40x = 35,597,565.53
5. Step 5: Solve for x
   x = 35,597,565.53/9,165.40
6. Step 6: Final answer
   x = 3,883.91