Finding the Fourth Proportional to 7,828.72, 11,734.87 and 3,665.22

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828.72 : 11,734.87 = 3,665.22 : x
2. Step 2: Convert to fraction form
   7,828.72/11,734.87 = 3,665.22/x
3. Step 3: Cross multiply
   7,828.72x = 11,734.87 × 3,665.22
4. Step 4: Simplify right side
   7,828.72x = 43,010,880.22
5. Step 5: Solve for x
   x = 43,010,880.22/7,828.72
6. Step 6: Final answer
   x = 5,493.99