Finding the Fourth Proportional to 5,640.50, 7,783.89 and 3,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640.50 : 7,783.89 = 3,156.50 : x
2. Step 2: Convert to fraction form
   5,640.50/7,783.89 = 3,156.50/x
3. Step 3: Cross multiply
   5,640.50x = 7,783.89 × 3,156.50
4. Step 4: Simplify right side
   5,640.50x = 24,569,848.79
5. Step 5: Solve for x
   x = 24,569,848.79/5,640.50
6. Step 6: Final answer
   x = 4,355.97