Finding the Fourth Proportional to 9,380.96, 14,066.11 and 3,827.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.96 : 14,066.11 = 3,827.80 : x
2. Step 2: Convert to fraction form
   9,380.96/14,066.11 = 3,827.80/x
3. Step 3: Cross multiply
   9,380.96x = 14,066.11 × 3,827.80
4. Step 4: Simplify right side
   9,380.96x = 53,842,255.86
5. Step 5: Solve for x
   x = 53,842,255.86/9,380.96
6. Step 6: Final answer
   x = 5,739.53