Finding the Fourth Proportional to 11,728.78, 17,594.62 and 3,832.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,728.78 : 17,594.62 = 3,832.09 : x
2. Step 2: Convert to fraction form
   11,728.78/17,594.62 = 3,832.09/x
3. Step 3: Cross multiply
   11,728.78x = 17,594.62 × 3,832.09
4. Step 4: Simplify right side
   11,728.78x = 67,424,113.79
5. Step 5: Solve for x
   x = 67,424,113.79/11,728.78
6. Step 6: Final answer
   x = 5,748.61