Finding the Fourth Proportional to 9,379.96, 14,064.61 and 3,826.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,379.96 : 14,064.61 = 3,826.80 : x
2. Step 2: Convert to fraction form
   9,379.96/14,064.61 = 3,826.80/x
3. Step 3: Cross multiply
   9,379.96x = 14,064.61 × 3,826.80
4. Step 4: Simplify right side
   9,379.96x = 53,822,449.55
5. Step 5: Solve for x
   x = 53,822,449.55/9,379.96
6. Step 6: Final answer
   x = 5,738.03