Finding the Fourth Proportional to 10,742.48, 16,114.50 and 4,496.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.48 : 16,114.50 = 4,496.21 : x
2. Step 2: Convert to fraction form
   10,742.48/16,114.50 = 4,496.21/x
3. Step 3: Cross multiply
   10,742.48x = 16,114.50 × 4,496.21
4. Step 4: Simplify right side
   10,742.48x = 72,454,139.04
5. Step 5: Solve for x
   x = 72,454,139.04/10,742.48
6. Step 6: Final answer
   x = 6,744.64