Finding the Fourth Proportional to 12,902.50, 19,357 and 3,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,902.50 : 19,357 = 3,668.50 : x
2. Step 2: Convert to fraction form
   12,902.50/19,357 = 3,668.50/x
3. Step 3: Cross multiply
   12,902.50x = 19,357 × 3,668.50
4. Step 4: Simplify right side
   12,902.50x = 71,011,154.50
5. Step 5: Solve for x
   x = 71,011,154.50/12,902.50
6. Step 6: Final answer
   x = 5,503.67