Finding the Fourth Proportional to 10,078.16, 13,907.88 and 5,601.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.16 : 13,907.88 = 5,601.80 : x
2. Step 2: Convert to fraction form
   10,078.16/13,907.88 = 5,601.80/x
3. Step 3: Cross multiply
   10,078.16x = 13,907.88 × 5,601.80
4. Step 4: Simplify right side
   10,078.16x = 77,909,162.18
5. Step 5: Solve for x
   x = 77,909,162.18/10,078.16
6. Step 6: Final answer
   x = 7,730.49