Finding the Fourth Proportional to 2,574.86, 3,859.20 and 1,186.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.86 : 3,859.20 = 1,186.29 : x
2. Step 2: Convert to fraction form
   2,574.86/3,859.20 = 1,186.29/x
3. Step 3: Cross multiply
   2,574.86x = 3,859.20 × 1,186.29
4. Step 4: Simplify right side
   2,574.86x = 4,578,130.37
5. Step 5: Solve for x
   x = 4,578,130.37/2,574.86
6. Step 6: Final answer
   x = 1,778.01