Finding the Fourth Proportional to 10,165.74, 14,028.76 and 5,690.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.74 : 14,028.76 = 5,690.22 : x
2. Step 2: Convert to fraction form
   10,165.74/14,028.76 = 5,690.22/x
3. Step 3: Cross multiply
   10,165.74x = 14,028.76 × 5,690.22
4. Step 4: Simplify right side
   10,165.74x = 79,826,730.73
5. Step 5: Solve for x
   x = 79,826,730.73/10,165.74
6. Step 6: Final answer
   x = 7,852.53