Finding the Fourth Proportional to 12,877.50, 19,319.49 and 3,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,877.50 : 19,319.49 = 3,643.50 : x
2. Step 2: Convert to fraction form
   12,877.50/19,319.49 = 3,643.50/x
3. Step 3: Cross multiply
   12,877.50x = 19,319.49 × 3,643.50
4. Step 4: Simplify right side
   12,877.50x = 70,390,561.82
5. Step 5: Solve for x
   x = 70,390,561.82/12,877.50
6. Step 6: Final answer
   x = 5,466.17