Finding the Fourth Proportional to 10,078.38, 13,908.06 and 5,602.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.38 : 13,908.06 = 5,602.14 : x
2. Step 2: Convert to fraction form
   10,078.38/13,908.06 = 5,602.14/x
3. Step 3: Cross multiply
   10,078.38x = 13,908.06 × 5,602.14
4. Step 4: Simplify right side
   10,078.38x = 77,914,899.25
5. Step 5: Solve for x
   x = 77,914,899.25/10,078.38
6. Step 6: Final answer
   x = 7,730.90