Finding the Fourth Proportional to 5,200.23, 7,783.38 and 2,824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.23 : 7,783.38 = 2,824.72 : x
2. Step 2: Convert to fraction form
   5,200.23/7,783.38 = 2,824.72/x
3. Step 3: Cross multiply
   5,200.23x = 7,783.38 × 2,824.72
4. Step 4: Simplify right side
   5,200.23x = 21,985,849.70
5. Step 5: Solve for x
   x = 21,985,849.70/5,200.23
6. Step 6: Final answer
   x = 4,227.86