Finding the Fourth Proportional to 10,077.71, 13,907 and 5,601.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.71 : 13,907 = 5,601.42 : x
2. Step 2: Convert to fraction form
   10,077.71/13,907 = 5,601.42/x
3. Step 3: Cross multiply
   10,077.71x = 13,907 × 5,601.42
4. Step 4: Simplify right side
   10,077.71x = 77,898,947.94
5. Step 5: Solve for x
   x = 77,898,947.94/10,077.71
6. Step 6: Final answer
   x = 7,729.83