Finding the Fourth Proportional to 10,077.16, 13,906.61 and 5,600.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.16 : 13,906.61 = 5,600.83 : x
2. Step 2: Convert to fraction form
   10,077.16/13,906.61 = 5,600.83/x
3. Step 3: Cross multiply
   10,077.16x = 13,906.61 × 5,600.83
4. Step 4: Simplify right side
   10,077.16x = 77,888,558.49
5. Step 5: Solve for x
   x = 77,888,558.49/10,077.16
6. Step 6: Final answer
   x = 7,729.22