Finding the Fourth Proportional to 10,762.56, 14,811.89 and 9,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,762.56 : 14,811.89 = 9,105.75 : x
2. Step 2: Convert to fraction form
   10,762.56/14,811.89 = 9,105.75/x
3. Step 3: Cross multiply
   10,762.56x = 14,811.89 × 9,105.75
4. Step 4: Simplify right side
   10,762.56x = 134,873,321.84
5. Step 5: Solve for x
   x = 134,873,321.84/10,762.56
6. Step 6: Final answer
   x = 12,531.71