Finding the Fourth Proportional to 10,078.84, 13,908 and 5,602.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.84 : 13,908 = 5,602.24 : x
2. Step 2: Convert to fraction form
   10,078.84/13,908 = 5,602.24/x
3. Step 3: Cross multiply
   10,078.84x = 13,908 × 5,602.24
4. Step 4: Simplify right side
   10,078.84x = 77,915,953.92
5. Step 5: Solve for x
   x = 77,915,953.92/10,078.84
6. Step 6: Final answer
   x = 7,730.65