Finding the Fourth Proportional to 10,164.91, 14,026.91 and 5,688.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.91 : 14,026.91 = 5,688.62 : x
2. Step 2: Convert to fraction form
   10,164.91/14,026.91 = 5,688.62/x
3. Step 3: Cross multiply
   10,164.91x = 14,026.91 × 5,688.62
4. Step 4: Simplify right side
   10,164.91x = 79,793,760.76
5. Step 5: Solve for x
   x = 79,793,760.76/10,164.91
6. Step 6: Final answer
   x = 7,849.92