Finding the Fourth Proportional to 12,877.12, 17,762.32 and 7,837.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,877.12 : 17,762.32 = 7,837.76 : x
2. Step 2: Convert to fraction form
   12,877.12/17,762.32 = 7,837.76/x
3. Step 3: Cross multiply
   12,877.12x = 17,762.32 × 7,837.76
4. Step 4: Simplify right side
   12,877.12x = 139,216,801.20
5. Step 5: Solve for x
   x = 139,216,801.20/12,877.12
6. Step 6: Final answer
   x = 10,811.18