Finding the Fourth Proportional to 20,838.72, 31,259.16 and 5,256.48

Step by Step Solution

1. Step 1: Write the proportion equation
   20,838.72 : 31,259.16 = 5,256.48 : x
2. Step 2: Convert to fraction form
   20,838.72/31,259.16 = 5,256.48/x
3. Step 3: Cross multiply
   20,838.72x = 31,259.16 × 5,256.48
4. Step 4: Simplify right side
   20,838.72x = 164,313,149.36
5. Step 5: Solve for x
   x = 164,313,149.36/20,838.72
6. Step 6: Final answer
   x = 7,884.99