Finding the Fourth Proportional to 10,447.48, 14,417.58 and 5,667.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,447.48 : 14,417.58 = 5,667.46 : x
2. Step 2: Convert to fraction form
   10,447.48/14,417.58 = 5,667.46/x
3. Step 3: Cross multiply
   10,447.48x = 14,417.58 × 5,667.46
4. Step 4: Simplify right side
   10,447.48x = 81,711,057.95
5. Step 5: Solve for x
   x = 81,711,057.95/10,447.48
6. Step 6: Final answer
   x = 7,821.13