Finding the Fourth Proportional to 10,077.68, 13,907.22 and 5,601.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.68 : 13,907.22 = 5,601.71 : x
2. Step 2: Convert to fraction form
   10,077.68/13,907.22 = 5,601.71/x
3. Step 3: Cross multiply
   10,077.68x = 13,907.22 × 5,601.71
4. Step 4: Simplify right side
   10,077.68x = 77,904,213.35
5. Step 5: Solve for x
   x = 77,904,213.35/10,077.68
6. Step 6: Final answer
   x = 7,730.37