Finding the Fourth Proportional to 5,642.37, 7,787.21 and 3,404.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.37 : 7,787.21 = 3,404.34 : x
2. Step 2: Convert to fraction form
   5,642.37/7,787.21 = 3,404.34/x
3. Step 3: Cross multiply
   5,642.37x = 7,787.21 × 3,404.34
4. Step 4: Simplify right side
   5,642.37x = 26,510,293.47
5. Step 5: Solve for x
   x = 26,510,293.47/5,642.37
6. Step 6: Final answer
   x = 4,698.43