Finding the Fourth Proportional to 5,642.30, 7,783.89 and 3,404.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.30 : 7,783.89 = 3,404.27 : x
2. Step 2: Convert to fraction form
   5,642.30/7,783.89 = 3,404.27/x
3. Step 3: Cross multiply
   5,642.30x = 7,783.89 × 3,404.27
4. Step 4: Simplify right side
   5,642.30x = 26,498,463.21
5. Step 5: Solve for x
   x = 26,498,463.21/5,642.30
6. Step 6: Final answer
   x = 4,696.39