Finding the Fourth Proportional to 10,165.31, 14,026.12 and 5,688.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.31 : 14,026.12 = 5,688.20 : x
2. Step 2: Convert to fraction form
   10,165.31/14,026.12 = 5,688.20/x
3. Step 3: Cross multiply
   10,165.31x = 14,026.12 × 5,688.20
4. Step 4: Simplify right side
   10,165.31x = 79,783,291.43
5. Step 5: Solve for x
   x = 79,783,291.43/10,165.31
6. Step 6: Final answer
   x = 7,848.58