Finding the Fourth Proportional to 10,077.14, 13,906.22 and 5,600.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.14 : 13,906.22 = 5,600.76 : x
2. Step 2: Convert to fraction form
   10,077.14/13,906.22 = 5,600.76/x
3. Step 3: Cross multiply
   10,077.14x = 13,906.22 × 5,600.76
4. Step 4: Simplify right side
   10,077.14x = 77,885,400.73
5. Step 5: Solve for x
   x = 77,885,400.73/10,077.14
6. Step 6: Final answer
   x = 7,728.92