Finding the Fourth Proportional to 10,078.19, 13,908.77 and 5,601.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.19 : 13,908.77 = 5,601.83 : x
2. Step 2: Convert to fraction form
   10,078.19/13,908.77 = 5,601.83/x
3. Step 3: Cross multiply
   10,078.19x = 13,908.77 × 5,601.83
4. Step 4: Simplify right side
   10,078.19x = 77,914,467.50
5. Step 5: Solve for x
   x = 77,914,467.50/10,078.19
6. Step 6: Final answer
   x = 7,731.00