Finding the Fourth Proportional to 5,185.60, 7,758.96 and 2,878.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.60 : 7,758.96 = 2,878.72 : x
2. Step 2: Convert to fraction form
   5,185.60/7,758.96 = 2,878.72/x
3. Step 3: Cross multiply
   5,185.60x = 7,758.96 × 2,878.72
4. Step 4: Simplify right side
   5,185.60x = 22,335,873.33
5. Step 5: Solve for x
   x = 22,335,873.33/5,185.60
6. Step 6: Final answer
   x = 4,307.29