Finding the Fourth Proportional to 10,166.96, 14,030.71 and 5,690.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.96 : 14,030.71 = 5,690.70 : x
2. Step 2: Convert to fraction form
   10,166.96/14,030.71 = 5,690.70/x
3. Step 3: Cross multiply
   10,166.96x = 14,030.71 × 5,690.70
4. Step 4: Simplify right side
   10,166.96x = 79,844,547.17
5. Step 5: Solve for x
   x = 79,844,547.17/10,166.96
6. Step 6: Final answer
   x = 7,853.33