Finding the Fourth Proportional to 10,166.97, 14,030.67 and 5,690.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.97 : 14,030.67 = 5,690.69 : x
2. Step 2: Convert to fraction form
   10,166.97/14,030.67 = 5,690.69/x
3. Step 3: Cross multiply
   10,166.97x = 14,030.67 × 5,690.69
4. Step 4: Simplify right side
   10,166.97x = 79,844,123.31
5. Step 5: Solve for x
   x = 79,844,123.31/10,166.97
6. Step 6: Final answer
   x = 7,853.29