Finding the Fourth Proportional to 8,106.89, 12,156.14 and 2,559.20

Step by Step Solution

1. Step 1: Write the proportion equation
   8,106.89 : 12,156.14 = 2,559.20 : x
2. Step 2: Convert to fraction form
   8,106.89/12,156.14 = 2,559.20/x
3. Step 3: Cross multiply
   8,106.89x = 12,156.14 × 2,559.20
4. Step 4: Simplify right side
   8,106.89x = 31,109,939.11
5. Step 5: Solve for x
   x = 31,109,939.11/8,106.89
6. Step 6: Final answer
   x = 3,837.47