Finding the Fourth Proportional to 3,852.56, 5,779.76 and 1,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.56 : 5,779.76 = 1,255.50 : x
2. Step 2: Convert to fraction form
   3,852.56/5,779.76 = 1,255.50/x
3. Step 3: Cross multiply
   3,852.56x = 5,779.76 × 1,255.50
4. Step 4: Simplify right side
   3,852.56x = 7,256,482.40
5. Step 5: Solve for x
   x = 7,256,482.40/3,852.56
6. Step 6: Final answer
   x = 1,883.55