Finding the Fourth Proportional to 10,165.59, 14,028.78 and 5,690.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.59 : 14,028.78 = 5,690.11 : x
2. Step 2: Convert to fraction form
   10,165.59/14,028.78 = 5,690.11/x
3. Step 3: Cross multiply
   10,165.59x = 14,028.78 × 5,690.11
4. Step 4: Simplify right side
   10,165.59x = 79,825,301.37
5. Step 5: Solve for x
   x = 79,825,301.37/10,165.59
6. Step 6: Final answer
   x = 7,852.50