Finding the Fourth Proportional to 10,116.66, 15,177.02 and 3,876.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.66 : 15,177.02 = 3,876.42 : x
2. Step 2: Convert to fraction form
   10,116.66/15,177.02 = 3,876.42/x
3. Step 3: Cross multiply
   10,116.66x = 15,177.02 × 3,876.42
4. Step 4: Simplify right side
   10,116.66x = 58,832,484.49
5. Step 5: Solve for x
   x = 58,832,484.49/10,116.66
6. Step 6: Final answer
   x = 5,815.41