Finding the Fourth Proportional to 12,835.50, 19,238.64 and 5,435.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,835.50 : 19,238.64 = 5,435.34 : x
2. Step 2: Convert to fraction form
   12,835.50/19,238.64 = 5,435.34/x
3. Step 3: Cross multiply
   12,835.50x = 19,238.64 × 5,435.34
4. Step 4: Simplify right side
   12,835.50x = 104,568,549.54
5. Step 5: Solve for x
   x = 104,568,549.54/12,835.50
6. Step 6: Final answer
   x = 8,146.82