Finding the Fourth Proportional to 10,078.47, 13,907.24 and 5,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.47 : 13,907.24 = 5,601.50 : x
2. Step 2: Convert to fraction form
   10,078.47/13,907.24 = 5,601.50/x
3. Step 3: Cross multiply
   10,078.47x = 13,907.24 × 5,601.50
4. Step 4: Simplify right side
   10,078.47x = 77,901,411.62
5. Step 5: Solve for x
   x = 77,901,411.62/10,078.47
6. Step 6: Final answer
   x = 7,729.49