Finding the Fourth Proportional to 10,166.85, 14,030.30 and 5,690.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.85 : 14,030.30 = 5,690.69 : x
2. Step 2: Convert to fraction form
   10,166.85/14,030.30 = 5,690.69/x
3. Step 3: Cross multiply
   10,166.85x = 14,030.30 × 5,690.69
4. Step 4: Simplify right side
   10,166.85x = 79,841,989.30
5. Step 5: Solve for x
   x = 79,841,989.30/10,166.85
6. Step 6: Final answer
   x = 7,853.17