Finding the Fourth Proportional to 10,166.55, 14,026.64 and 5,689.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.55 : 14,026.64 = 5,689.59 : x
2. Step 2: Convert to fraction form
   10,166.55/14,026.64 = 5,689.59/x
3. Step 3: Cross multiply
   10,166.55x = 14,026.64 × 5,689.59
4. Step 4: Simplify right side
   10,166.55x = 79,805,781.39
5. Step 5: Solve for x
   x = 79,805,781.39/10,166.55
6. Step 6: Final answer
   x = 7,849.84