Finding the Fourth Proportional to 13,426.10, 20,142.63 and 5,106.26

Step by Step Solution

1. Step 1: Write the proportion equation
   13,426.10 : 20,142.63 = 5,106.26 : x
2. Step 2: Convert to fraction form
   13,426.10/20,142.63 = 5,106.26/x
3. Step 3: Cross multiply
   13,426.10x = 20,142.63 × 5,106.26
4. Step 4: Simplify right side
   13,426.10x = 102,853,505.86
5. Step 5: Solve for x
   x = 102,853,505.86/13,426.10
6. Step 6: Final answer
   x = 7,660.71