Finding the Fourth Proportional to 10,165.62, 14,028.54 and 5,690.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.62 : 14,028.54 = 5,690.24 : x
2. Step 2: Convert to fraction form
   10,165.62/14,028.54 = 5,690.24/x
3. Step 3: Cross multiply
   10,165.62x = 14,028.54 × 5,690.24
4. Step 4: Simplify right side
   10,165.62x = 79,825,689.31
5. Step 5: Solve for x
   x = 79,825,689.31/10,165.62
6. Step 6: Final answer
   x = 7,852.52