Finding the Fourth Proportional to 10,214.64, 14,095.82 and 5,677.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.64 : 14,095.82 = 5,677.61 : x
2. Step 2: Convert to fraction form
   10,214.64/14,095.82 = 5,677.61/x
3. Step 3: Cross multiply
   10,214.64x = 14,095.82 × 5,677.61
4. Step 4: Simplify right side
   10,214.64x = 80,030,469.72
5. Step 5: Solve for x
   x = 80,030,469.72/10,214.64
6. Step 6: Final answer
   x = 7,834.88