Finding the Fourth Proportional to 12,834.05, 19,255.84 and 7,846.64

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834.05 : 19,255.84 = 7,846.64 : x
2. Step 2: Convert to fraction form
   12,834.05/19,255.84 = 7,846.64/x
3. Step 3: Cross multiply
   12,834.05x = 19,255.84 × 7,846.64
4. Step 4: Simplify right side
   12,834.05x = 151,093,644.83
5. Step 5: Solve for x
   x = 151,093,644.83/12,834.05
6. Step 6: Final answer
   x = 11,772.88