Finding the Fourth Proportional to 12,842.42, 19,255.94 and 5,336.93

Step by Step Solution

1. Step 1: Write the proportion equation
   12,842.42 : 19,255.94 = 5,336.93 : x
2. Step 2: Convert to fraction form
   12,842.42/19,255.94 = 5,336.93/x
3. Step 3: Cross multiply
   12,842.42x = 19,255.94 × 5,336.93
4. Step 4: Simplify right side
   12,842.42x = 102,767,524.98
5. Step 5: Solve for x
   x = 102,767,524.98/12,842.42
6. Step 6: Final answer
   x = 8,002.19