Finding the Fourth Proportional to 10,414.02, 14,371.05 and 5,697.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.02 : 14,371.05 = 5,697.99 : x
2. Step 2: Convert to fraction form
   10,414.02/14,371.05 = 5,697.99/x
3. Step 3: Cross multiply
   10,414.02x = 14,371.05 × 5,697.99
4. Step 4: Simplify right side
   10,414.02x = 81,886,099.19
5. Step 5: Solve for x
   x = 81,886,099.19/10,414.02
6. Step 6: Final answer
   x = 7,863.06