Finding the Fourth Proportional to 5,692.40, 7,856.52 and 3,678.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,692.40 : 7,856.52 = 3,678.31 : x
2. Step 2: Convert to fraction form
   5,692.40/7,856.52 = 3,678.31/x
3. Step 3: Cross multiply
   5,692.40x = 7,856.52 × 3,678.31
4. Step 4: Simplify right side
   5,692.40x = 28,898,722.45
5. Step 5: Solve for x
   x = 28,898,722.45/5,692.40
6. Step 6: Final answer
   x = 5,076.72