Finding the Fourth Proportional to 10,426.20, 15,641.08 and 3,852.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.20 : 15,641.08 = 3,852.42 : x
2. Step 2: Convert to fraction form
   10,426.20/15,641.08 = 3,852.42/x
3. Step 3: Cross multiply
   10,426.20x = 15,641.08 × 3,852.42
4. Step 4: Simplify right side
   10,426.20x = 60,256,009.41
5. Step 5: Solve for x
   x = 60,256,009.41/10,426.20
6. Step 6: Final answer
   x = 5,779.29