Finding the Fourth Proportional to 10,078.12, 13,907.52 and 5,601.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.12 : 13,907.52 = 5,601.88 : x
2. Step 2: Convert to fraction form
   10,078.12/13,907.52 = 5,601.88/x
3. Step 3: Cross multiply
   10,078.12x = 13,907.52 × 5,601.88
4. Step 4: Simplify right side
   10,078.12x = 77,908,258.14
5. Step 5: Solve for x
   x = 77,908,258.14/10,078.12
6. Step 6: Final answer
   x = 7,730.44