Finding the Fourth Proportional to 13,456.52, 20,180.12 and 5,138.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,456.52 : 20,180.12 = 5,138.88 : x
2. Step 2: Convert to fraction form
   13,456.52/20,180.12 = 5,138.88/x
3. Step 3: Cross multiply
   13,456.52x = 20,180.12 × 5,138.88
4. Step 4: Simplify right side
   13,456.52x = 103,703,189.37
5. Step 5: Solve for x
   x = 103,703,189.37/13,456.52
6. Step 6: Final answer
   x = 7,706.54