Finding the Fourth Proportional to 10,677.48, 14,723.82 and 7,707.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677.48 : 14,723.82 = 7,707.48 : x
2. Step 2: Convert to fraction form
   10,677.48/14,723.82 = 7,707.48/x
3. Step 3: Cross multiply
   10,677.48x = 14,723.82 × 7,707.48
4. Step 4: Simplify right side
   10,677.48x = 113,483,548.17
5. Step 5: Solve for x
   x = 113,483,548.17/10,677.48
6. Step 6: Final answer
   x = 10,628.31