Finding the Fourth Proportional to 10,513.11, 14,513.94 and 7,677.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.11 : 14,513.94 = 7,677.66 : x
2. Step 2: Convert to fraction form
   10,513.11/14,513.94 = 7,677.66/x
3. Step 3: Cross multiply
   10,513.11x = 14,513.94 × 7,677.66
4. Step 4: Simplify right side
   10,513.11x = 111,433,096.58
5. Step 5: Solve for x
   x = 111,433,096.58/10,513.11
6. Step 6: Final answer
   x = 10,599.44