Finding the Fourth Proportional to 10,078.56, 13,908.42 and 5,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.56 : 13,908.42 = 5,602.50 : x
2. Step 2: Convert to fraction form
   10,078.56/13,908.42 = 5,602.50/x
3. Step 3: Cross multiply
   10,078.56x = 13,908.42 × 5,602.50
4. Step 4: Simplify right side
   10,078.56x = 77,921,923.05
5. Step 5: Solve for x
   x = 77,921,923.05/10,078.56
6. Step 6: Final answer
   x = 7,731.45