Finding the Fourth Proportional to 7,849.35, 11,773.89 and 2,005.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,849.35 : 11,773.89 = 2,005.83 : x
2. Step 2: Convert to fraction form
   7,849.35/11,773.89 = 2,005.83/x
3. Step 3: Cross multiply
   7,849.35x = 11,773.89 × 2,005.83
4. Step 4: Simplify right side
   7,849.35x = 23,616,421.78
5. Step 5: Solve for x
   x = 23,616,421.78/7,849.35
6. Step 6: Final answer
   x = 3,008.71