Finding the Fourth Proportional to 10,462.42, 14,441.33 and 6,214.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.42 : 14,441.33 = 6,214.17 : x
2. Step 2: Convert to fraction form
   10,462.42/14,441.33 = 6,214.17/x
3. Step 3: Cross multiply
   10,462.42x = 14,441.33 × 6,214.17
4. Step 4: Simplify right side
   10,462.42x = 89,740,868.10
5. Step 5: Solve for x
   x = 89,740,868.10/10,462.42
6. Step 6: Final answer
   x = 8,577.45