Finding the Fourth Proportional to 10,122.50, 13,967.74 and 5,815.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122.50 : 13,967.74 = 5,815.48 : x
2. Step 2: Convert to fraction form
   10,122.50/13,967.74 = 5,815.48/x
3. Step 3: Cross multiply
   10,122.50x = 13,967.74 × 5,815.48
4. Step 4: Simplify right side
   10,122.50x = 81,229,111.15
5. Step 5: Solve for x
   x = 81,229,111.15/10,122.50
6. Step 6: Final answer
   x = 8,024.61