Finding the Fourth Proportional to 13,862.56, 20,784.12 and 5,096.34

Step by Step Solution

1. Step 1: Write the proportion equation
   13,862.56 : 20,784.12 = 5,096.34 : x
2. Step 2: Convert to fraction form
   13,862.56/20,784.12 = 5,096.34/x
3. Step 3: Cross multiply
   13,862.56x = 20,784.12 × 5,096.34
4. Step 4: Simplify right side
   13,862.56x = 105,922,942.12
5. Step 5: Solve for x
   x = 105,922,942.12/13,862.56
6. Step 6: Final answer
   x = 7,640.94