Finding the Fourth Proportional to 3,643.98, 5,027.50 and 2,152.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,643.98 : 5,027.50 = 2,152.40 : x
2. Step 2: Convert to fraction form
   3,643.98/5,027.50 = 2,152.40/x
3. Step 3: Cross multiply
   3,643.98x = 5,027.50 × 2,152.40
4. Step 4: Simplify right side
   3,643.98x = 10,821,191
5. Step 5: Solve for x
   x = 10,821,191/3,643.98
6. Step 6: Final answer
   x = 2,969.61