Finding the Fourth Proportional to 10,078.29, 13,908.02 and 5,602.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.29 : 13,908.02 = 5,602.46 : x
2. Step 2: Convert to fraction form
   10,078.29/13,908.02 = 5,602.46/x
3. Step 3: Cross multiply
   10,078.29x = 13,908.02 × 5,602.46
4. Step 4: Simplify right side
   10,078.29x = 77,919,056.19
5. Step 5: Solve for x
   x = 77,919,056.19/10,078.29
6. Step 6: Final answer
   x = 7,731.38