Finding the Fourth Proportional to 12,918.50, 19,381 and 3,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,918.50 : 19,381 = 3,684.50 : x
2. Step 2: Convert to fraction form
   12,918.50/19,381 = 3,684.50/x
3. Step 3: Cross multiply
   12,918.50x = 19,381 × 3,684.50
4. Step 4: Simplify right side
   12,918.50x = 71,409,294.50
5. Step 5: Solve for x
   x = 71,409,294.50/12,918.50
6. Step 6: Final answer
   x = 5,527.68