Finding the Fourth Proportional to 13,538.42, 18,680.37 and 7,873.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538.42 : 18,680.37 = 7,873.82 : x
2. Step 2: Convert to fraction form
   13,538.42/18,680.37 = 7,873.82/x
3. Step 3: Cross multiply
   13,538.42x = 18,680.37 × 7,873.82
4. Step 4: Simplify right side
   13,538.42x = 147,085,870.91
5. Step 5: Solve for x
   x = 147,085,870.91/13,538.42
6. Step 6: Final answer
   x = 10,864.33