Finding the Fourth Proportional to 12,986.15, 19,493.81 and 5,200.43

Step by Step Solution

1. Step 1: Write the proportion equation
   12,986.15 : 19,493.81 = 5,200.43 : x
2. Step 2: Convert to fraction form
   12,986.15/19,493.81 = 5,200.43/x
3. Step 3: Cross multiply
   12,986.15x = 19,493.81 × 5,200.43
4. Step 4: Simplify right side
   12,986.15x = 101,376,168.34
5. Step 5: Solve for x
   x = 101,376,168.34/12,986.15
6. Step 6: Final answer
   x = 7,806.48