Finding the Fourth Proportional to 9,151.68, 12,619.89 and 7,829.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,151.68 : 12,619.89 = 7,829.76 : x
2. Step 2: Convert to fraction form
   9,151.68/12,619.89 = 7,829.76/x
3. Step 3: Cross multiply
   9,151.68x = 12,619.89 × 7,829.76
4. Step 4: Simplify right side
   9,151.68x = 98,810,709.93
5. Step 5: Solve for x
   x = 98,810,709.93/9,151.68
6. Step 6: Final answer
   x = 10,797.00