Finding the Fourth Proportional to 10,077.78, 15,116.72 and 3,414.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.78 : 15,116.72 = 3,414.34 : x
2. Step 2: Convert to fraction form
   10,077.78/15,116.72 = 3,414.34/x
3. Step 3: Cross multiply
   10,077.78x = 15,116.72 × 3,414.34
4. Step 4: Simplify right side
   10,077.78x = 51,613,621.76
5. Step 5: Solve for x
   x = 51,613,621.76/10,077.78
6. Step 6: Final answer
   x = 5,121.53