Finding the Fourth Proportional to 10,086.57, 13,896.77 and 7,564.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.57 : 13,896.77 = 7,564.73 : x
2. Step 2: Convert to fraction form
   10,086.57/13,896.77 = 7,564.73/x
3. Step 3: Cross multiply
   10,086.57x = 13,896.77 × 7,564.73
4. Step 4: Simplify right side
   10,086.57x = 105,125,205.61
5. Step 5: Solve for x
   x = 105,125,205.61/10,086.57
6. Step 6: Final answer
   x = 10,422.29