Finding the Fourth Proportional to 2,569.86, 3,856.41 and 1,476.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.86 : 3,856.41 = 1,476.36 : x
2. Step 2: Convert to fraction form
   2,569.86/3,856.41 = 1,476.36/x
3. Step 3: Cross multiply
   2,569.86x = 3,856.41 × 1,476.36
4. Step 4: Simplify right side
   2,569.86x = 5,693,449.47
5. Step 5: Solve for x
   x = 5,693,449.47/2,569.86
6. Step 6: Final answer
   x = 2,215.47