Finding the Fourth Proportional to 5,223.51, 7,824.82 and 3,142.37

Step by Step Solution

1. Step 1: Write the proportion equation
   5,223.51 : 7,824.82 = 3,142.37 : x
2. Step 2: Convert to fraction form
   5,223.51/7,824.82 = 3,142.37/x
3. Step 3: Cross multiply
   5,223.51x = 7,824.82 × 3,142.37
4. Step 4: Simplify right side
   5,223.51x = 24,588,440.50
5. Step 5: Solve for x
   x = 24,588,440.50/5,223.51
6. Step 6: Final answer
   x = 4,707.27