Finding the Fourth Proportional to 10,165.21, 14,026.30 and 5,974.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.21 : 14,026.30 = 5,974.27 : x
2. Step 2: Convert to fraction form
   10,165.21/14,026.30 = 5,974.27/x
3. Step 3: Cross multiply
   10,165.21x = 14,026.30 × 5,974.27
4. Step 4: Simplify right side
   10,165.21x = 83,796,903.30
5. Step 5: Solve for x
   x = 83,796,903.30/10,165.21
6. Step 6: Final answer
   x = 8,243.50