Finding the Fourth Proportional to 10,089.78, 15,124.94 and 5,161.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.78 : 15,124.94 = 5,161.74 : x
2. Step 2: Convert to fraction form
   10,089.78/15,124.94 = 5,161.74/x
3. Step 3: Cross multiply
   10,089.78x = 15,124.94 × 5,161.74
4. Step 4: Simplify right side
   10,089.78x = 78,071,007.80
5. Step 5: Solve for x
   x = 78,071,007.80/10,089.78
6. Step 6: Final answer
   x = 7,737.63