Finding the Fourth Proportional to 10,216.35, 14,098.66 and 5,740.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.35 : 14,098.66 = 5,740.16 : x
2. Step 2: Convert to fraction form
   10,216.35/14,098.66 = 5,740.16/x
3. Step 3: Cross multiply
   10,216.35x = 14,098.66 × 5,740.16
4. Step 4: Simplify right side
   10,216.35x = 80,928,479.34
5. Step 5: Solve for x
   x = 80,928,479.34/10,216.35
6. Step 6: Final answer
   x = 7,921.47