Finding the Fourth Proportional to 10,077.36, 13,906.81 and 5,601.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.36 : 13,906.81 = 5,601.53 : x
2. Step 2: Convert to fraction form
   10,077.36/13,906.81 = 5,601.53/x
3. Step 3: Cross multiply
   10,077.36x = 13,906.81 × 5,601.53
4. Step 4: Simplify right side
   10,077.36x = 77,899,431.83
5. Step 5: Solve for x
   x = 77,899,431.83/10,077.36
6. Step 6: Final answer
   x = 7,730.14