Finding the Fourth Proportional to 2,592.86, 3,870.47 and 2,400.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.86 : 3,870.47 = 2,400.14 : x
2. Step 2: Convert to fraction form
   2,592.86/3,870.47 = 2,400.14/x
3. Step 3: Cross multiply
   2,592.86x = 3,870.47 × 2,400.14
4. Step 4: Simplify right side
   2,592.86x = 9,289,685.54
5. Step 5: Solve for x
   x = 9,289,685.54/2,592.86
6. Step 6: Final answer
   x = 3,582.80