Finding the Fourth Proportional to 5,667.33, 7,822.46 and 3,677.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.33 : 7,822.46 = 3,677.77 : x
2. Step 2: Convert to fraction form
   5,667.33/7,822.46 = 3,677.77/x
3. Step 3: Cross multiply
   5,667.33x = 7,822.46 × 3,677.77
4. Step 4: Simplify right side
   5,667.33x = 28,769,151.21
5. Step 5: Solve for x
   x = 28,769,151.21/5,667.33
6. Step 6: Final answer
   x = 5,076.31