Finding the Fourth Proportional to 13,822.34, 19,074.83 and 7,854.03

Step by Step Solution

1. Step 1: Write the proportion equation
   13,822.34 : 19,074.83 = 7,854.03 : x
2. Step 2: Convert to fraction form
   13,822.34/19,074.83 = 7,854.03/x
3. Step 3: Cross multiply
   13,822.34x = 19,074.83 × 7,854.03
4. Step 4: Simplify right side
   13,822.34x = 149,814,247.79
5. Step 5: Solve for x
   x = 149,814,247.79/13,822.34
6. Step 6: Final answer
   x = 10,838.56