Finding the Fourth Proportional to 5,667.64, 7,822.89 and 3,678.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.64 : 7,822.89 = 3,678.09 : x
2. Step 2: Convert to fraction form
   5,667.64/7,822.89 = 3,678.09/x
3. Step 3: Cross multiply
   5,667.64x = 7,822.89 × 3,678.09
4. Step 4: Simplify right side
   5,667.64x = 28,773,293.48
5. Step 5: Solve for x
   x = 28,773,293.48/5,667.64
6. Step 6: Final answer
   x = 5,076.77