Finding the Fourth Proportional to 10,078.26, 13,907.78 and 5,601.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.26 : 13,907.78 = 5,601.76 : x
2. Step 2: Convert to fraction form
   10,078.26/13,907.78 = 5,601.76/x
3. Step 3: Cross multiply
   10,078.26x = 13,907.78 × 5,601.76
4. Step 4: Simplify right side
   10,078.26x = 77,908,045.69
5. Step 5: Solve for x
   x = 77,908,045.69/10,078.26
6. Step 6: Final answer
   x = 7,730.31