Finding the Fourth Proportional to 5,182.35, 7,768.71 and 1,894.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.35 : 7,768.71 = 1,894.69 : x
2. Step 2: Convert to fraction form
   5,182.35/7,768.71 = 1,894.69/x
3. Step 3: Cross multiply
   5,182.35x = 7,768.71 × 1,894.69
4. Step 4: Simplify right side
   5,182.35x = 14,719,297.15
5. Step 5: Solve for x
   x = 14,719,297.15/5,182.35
6. Step 6: Final answer
   x = 2,840.27