Finding the Fourth Proportional to 10,468.74, 14,447.16 and 5,753.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468.74 : 14,447.16 = 5,753.34 : x
2. Step 2: Convert to fraction form
   10,468.74/14,447.16 = 5,753.34/x
3. Step 3: Cross multiply
   10,468.74x = 14,447.16 × 5,753.34
4. Step 4: Simplify right side
   10,468.74x = 83,119,423.51
5. Step 5: Solve for x
   x = 83,119,423.51/10,468.74
6. Step 6: Final answer
   x = 7,939.77