Finding the Fourth Proportional to 10,077.62, 13,906.99 and 5,601.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.62 : 13,906.99 = 5,601.25 : x
2. Step 2: Convert to fraction form
   10,077.62/13,906.99 = 5,601.25/x
3. Step 3: Cross multiply
   10,077.62x = 13,906.99 × 5,601.25
4. Step 4: Simplify right side
   10,077.62x = 77,896,552.12
5. Step 5: Solve for x
   x = 77,896,552.12/10,077.62
6. Step 6: Final answer
   x = 7,729.66