Finding the Fourth Proportional to 5,623.96, 7,761.82 and 3,834.04

Step by Step Solution

1. Step 1: Write the proportion equation
   5,623.96 : 7,761.82 = 3,834.04 : x
2. Step 2: Convert to fraction form
   5,623.96/7,761.82 = 3,834.04/x
3. Step 3: Cross multiply
   5,623.96x = 7,761.82 × 3,834.04
4. Step 4: Simplify right side
   5,623.96x = 29,759,128.35
5. Step 5: Solve for x
   x = 29,759,128.35/5,623.96
6. Step 6: Final answer
   x = 5,291.49