Finding the Fourth Proportional to 10,164.96, 14,026.46 and 5,688.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.96 : 14,026.46 = 5,688.59 : x
2. Step 2: Convert to fraction form
   10,164.96/14,026.46 = 5,688.59/x
3. Step 3: Cross multiply
   10,164.96x = 14,026.46 × 5,688.59
4. Step 4: Simplify right side
   10,164.96x = 79,790,681.52
5. Step 5: Solve for x
   x = 79,790,681.52/10,164.96
6. Step 6: Final answer
   x = 7,849.58