Finding the Fourth Proportional to 10,212.50, 14,092.98 and 5,736.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,212.50 : 14,092.98 = 5,736.74 : x
2. Step 2: Convert to fraction form
   10,212.50/14,092.98 = 5,736.74/x
3. Step 3: Cross multiply
   10,212.50x = 14,092.98 × 5,736.74
4. Step 4: Simplify right side
   10,212.50x = 80,847,762.09
5. Step 5: Solve for x
   x = 80,847,762.09/10,212.50
6. Step 6: Final answer
   x = 7,916.55