Finding the Fourth Proportional to 10,105.83, 15,155.10 and 4,259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.83 : 15,155.10 = 4,259.25 : x
2. Step 2: Convert to fraction form
   10,105.83/15,155.10 = 4,259.25/x
3. Step 3: Cross multiply
   10,105.83x = 15,155.10 × 4,259.25
4. Step 4: Simplify right side
   10,105.83x = 64,549,359.68
5. Step 5: Solve for x
   x = 64,549,359.68/10,105.83
6. Step 6: Final answer
   x = 6,387.34