Finding the Fourth Proportional to 5,643.54, 7,784.23 and 3,872.07

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643.54 : 7,784.23 = 3,872.07 : x
2. Step 2: Convert to fraction form
   5,643.54/7,784.23 = 3,872.07/x
3. Step 3: Cross multiply
   5,643.54x = 7,784.23 × 3,872.07
4. Step 4: Simplify right side
   5,643.54x = 30,141,064.10
5. Step 5: Solve for x
   x = 30,141,064.10/5,643.54
6. Step 6: Final answer
   x = 5,340.81