Finding the Fourth Proportional to 9,590.40, 14,381.69 and 3,665.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,590.40 : 14,381.69 = 3,665.28 : x
2. Step 2: Convert to fraction form
   9,590.40/14,381.69 = 3,665.28/x
3. Step 3: Cross multiply
   9,590.40x = 14,381.69 × 3,665.28
4. Step 4: Simplify right side
   9,590.40x = 52,712,956.33
5. Step 5: Solve for x
   x = 52,712,956.33/9,590.40
6. Step 6: Final answer
   x = 5,496.43