Finding the Fourth Proportional to 12,877.75, 17,772.78 and 7,844.91

Step by Step Solution

1. Step 1: Write the proportion equation
   12,877.75 : 17,772.78 = 7,844.91 : x
2. Step 2: Convert to fraction form
   12,877.75/17,772.78 = 7,844.91/x
3. Step 3: Cross multiply
   12,877.75x = 17,772.78 × 7,844.91
4. Step 4: Simplify right side
   12,877.75x = 139,425,859.55
5. Step 5: Solve for x
   x = 139,425,859.55/12,877.75
6. Step 6: Final answer
   x = 10,826.88