Finding the Fourth Proportional to 5,196.96, 7,798.68 and 2,277.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.96 : 7,798.68 = 2,277.72 : x
2. Step 2: Convert to fraction form
   5,196.96/7,798.68 = 2,277.72/x
3. Step 3: Cross multiply
   5,196.96x = 7,798.68 × 2,277.72
4. Step 4: Simplify right side
   5,196.96x = 17,763,209.41
5. Step 5: Solve for x
   x = 17,763,209.41/5,196.96
6. Step 6: Final answer
   x = 3,418.00