Finding the Fourth Proportional to 12,536.24, 18,801.25 and 5,142.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,536.24 : 18,801.25 = 5,142.76 : x
2. Step 2: Convert to fraction form
   12,536.24/18,801.25 = 5,142.76/x
3. Step 3: Cross multiply
   12,536.24x = 18,801.25 × 5,142.76
4. Step 4: Simplify right side
   12,536.24x = 96,690,256.59
5. Step 5: Solve for x
   x = 96,690,256.59/12,536.24
6. Step 6: Final answer
   x = 7,712.86