Finding the Fourth Proportional to 2,382.86, 3,569.42 and 1,406

Step by Step Solution

1. Step 1: Write the proportion equation
   2,382.86 : 3,569.42 = 1,406 : x
2. Step 2: Convert to fraction form
   2,382.86/3,569.42 = 1,406/x
3. Step 3: Cross multiply
   2,382.86x = 3,569.42 × 1,406
4. Step 4: Simplify right side
   2,382.86x = 5,018,604.52
5. Step 5: Solve for x
   x = 5,018,604.52/2,382.86
6. Step 6: Final answer
   x = 2,106.13