Finding the Fourth Proportional to 5,640.82, 7,784.90 and 4,069.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640.82 : 7,784.90 = 4,069.82 : x
2. Step 2: Convert to fraction form
   5,640.82/7,784.90 = 4,069.82/x
3. Step 3: Cross multiply
   5,640.82x = 7,784.90 × 4,069.82
4. Step 4: Simplify right side
   5,640.82x = 31,683,141.72
5. Step 5: Solve for x
   x = 31,683,141.72/5,640.82
6. Step 6: Final answer
   x = 5,616.76