Finding the Fourth Proportional to 10,217.86, 14,099.88 and 5,740.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217.86 : 14,099.88 = 5,740.90 : x
2. Step 2: Convert to fraction form
   10,217.86/14,099.88 = 5,740.90/x
3. Step 3: Cross multiply
   10,217.86x = 14,099.88 × 5,740.90
4. Step 4: Simplify right side
   10,217.86x = 80,946,001.09
5. Step 5: Solve for x
   x = 80,946,001.09/10,217.86
6. Step 6: Final answer
   x = 7,922.01