Finding the Fourth Proportional to 10,169.88, 14,034.78 and 5,693.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,169.88 : 14,034.78 = 5,693.82 : x
2. Step 2: Convert to fraction form
   10,169.88/14,034.78 = 5,693.82/x
3. Step 3: Cross multiply
   10,169.88x = 14,034.78 × 5,693.82
4. Step 4: Simplify right side
   10,169.88x = 79,911,511.06
5. Step 5: Solve for x
   x = 79,911,511.06/10,169.88
6. Step 6: Final answer
   x = 7,857.67