Finding the Fourth Proportional to 9,677.04, 13,356.72 and 6,314.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.04 : 13,356.72 = 6,314.10 : x
2. Step 2: Convert to fraction form
   9,677.04/13,356.72 = 6,314.10/x
3. Step 3: Cross multiply
   9,677.04x = 13,356.72 × 6,314.10
4. Step 4: Simplify right side
   9,677.04x = 84,335,665.75
5. Step 5: Solve for x
   x = 84,335,665.75/9,677.04
6. Step 6: Final answer
   x = 8,715.03