Finding the Fourth Proportional to 10,009.85, 13,819.98 and 6,426.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.85 : 13,819.98 = 6,426.34 : x
2. Step 2: Convert to fraction form
   10,009.85/13,819.98 = 6,426.34/x
3. Step 3: Cross multiply
   10,009.85x = 13,819.98 × 6,426.34
4. Step 4: Simplify right side
   10,009.85x = 88,811,879.82
5. Step 5: Solve for x
   x = 88,811,879.82/10,009.85
6. Step 6: Final answer
   x = 8,872.45