Finding the Fourth Proportional to 4,019.57, 6,024.71 and 2,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,019.57 : 6,024.71 = 2,377.50 : x
2. Step 2: Convert to fraction form
   4,019.57/6,024.71 = 2,377.50/x
3. Step 3: Cross multiply
   4,019.57x = 6,024.71 × 2,377.50
4. Step 4: Simplify right side
   4,019.57x = 14,323,736.14
5. Step 5: Solve for x
   x = 14,323,736.14/4,019.57
6. Step 6: Final answer
   x = 3,563.50