Finding the Fourth Proportional to 10,078.50, 13,907.07 and 5,601.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.50 : 13,907.07 = 5,601.96 : x
2. Step 2: Convert to fraction form
   10,078.50/13,907.07 = 5,601.96/x
3. Step 3: Cross multiply
   10,078.50x = 13,907.07 × 5,601.96
4. Step 4: Simplify right side
   10,078.50x = 77,906,849.86
5. Step 5: Solve for x
   x = 77,906,849.86/10,078.50
6. Step 6: Final answer
   x = 7,730.00