Finding the Fourth Proportional to 13,424.10, 18,523.90 and 7,838.34

Step by Step Solution

1. Step 1: Write the proportion equation
   13,424.10 : 18,523.90 = 7,838.34 : x
2. Step 2: Convert to fraction form
   13,424.10/18,523.90 = 7,838.34/x
3. Step 3: Cross multiply
   13,424.10x = 18,523.90 × 7,838.34
4. Step 4: Simplify right side
   13,424.10x = 145,196,626.33
5. Step 5: Solve for x
   x = 145,196,626.33/13,424.10
6. Step 6: Final answer
   x = 10,816.12