Finding the Fourth Proportional to 5,185.56, 7,778.94 and 1,675.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.56 : 7,778.94 = 1,675.83 : x
2. Step 2: Convert to fraction form
   5,185.56/7,778.94 = 1,675.83/x
3. Step 3: Cross multiply
   5,185.56x = 7,778.94 × 1,675.83
4. Step 4: Simplify right side
   5,185.56x = 13,036,181.02
5. Step 5: Solve for x
   x = 13,036,181.02/5,185.56
6. Step 6: Final answer
   x = 2,513.94