Finding the Fourth Proportional to 12,877.54, 17,765.78 and 7,837.72

Step by Step Solution

1. Step 1: Write the proportion equation
   12,877.54 : 17,765.78 = 7,837.72 : x
2. Step 2: Convert to fraction form
   12,877.54/17,765.78 = 7,837.72/x
3. Step 3: Cross multiply
   12,877.54x = 17,765.78 × 7,837.72
4. Step 4: Simplify right side
   12,877.54x = 139,243,209.22
5. Step 5: Solve for x
   x = 139,243,209.22/12,877.54
6. Step 6: Final answer
   x = 10,812.87