Finding the Fourth Proportional to 10,078.42, 13,908.12 and 5,602.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.42 : 13,908.12 = 5,602.08 : x
2. Step 2: Convert to fraction form
   10,078.42/13,908.12 = 5,602.08/x
3. Step 3: Cross multiply
   10,078.42x = 13,908.12 × 5,602.08
4. Step 4: Simplify right side
   10,078.42x = 77,914,400.89
5. Step 5: Solve for x
   x = 77,914,400.89/10,078.42
6. Step 6: Final answer
   x = 7,730.82