Finding the Fourth Proportional to 13,872.31, 20,798.75 and 5,106.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872.31 : 20,798.75 = 5,106.09 : x
2. Step 2: Convert to fraction form
   13,872.31/20,798.75 = 5,106.09/x
3. Step 3: Cross multiply
   13,872.31x = 20,798.75 × 5,106.09
4. Step 4: Simplify right side
   13,872.31x = 106,200,263.86
5. Step 5: Solve for x
   x = 106,200,263.86/13,872.31
6. Step 6: Final answer
   x = 7,655.56