Finding the Fourth Proportional to 10,214.64, 14,095.98 and 5,677.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.64 : 14,095.98 = 5,677.02 : x
2. Step 2: Convert to fraction form
   10,214.64/14,095.98 = 5,677.02/x
3. Step 3: Cross multiply
   10,214.64x = 14,095.98 × 5,677.02
4. Step 4: Simplify right side
   10,214.64x = 80,023,160.38
5. Step 5: Solve for x
   x = 80,023,160.38/10,214.64
6. Step 6: Final answer
   x = 7,834.16