Finding the Fourth Proportional to 3,853.86, 5,779.50 and 1,256.18

Step by Step Solution

1. Step 1: Write the proportion equation
   3,853.86 : 5,779.50 = 1,256.18 : x
2. Step 2: Convert to fraction form
   3,853.86/5,779.50 = 1,256.18/x
3. Step 3: Cross multiply
   3,853.86x = 5,779.50 × 1,256.18
4. Step 4: Simplify right side
   3,853.86x = 7,260,092.31
5. Step 5: Solve for x
   x = 7,260,092.31/3,853.86
6. Step 6: Final answer
   x = 1,883.85