Finding the Fourth Proportional to 2,764.53, 4,146.89 and 816.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.53 : 4,146.89 = 816.89 : x
2. Step 2: Convert to fraction form
   2,764.53/4,146.89 = 816.89/x
3. Step 3: Cross multiply
   2,764.53x = 4,146.89 × 816.89
4. Step 4: Simplify right side
   2,764.53x = 3,387,528.15
5. Step 5: Solve for x
   x = 3,387,528.15/2,764.53
6. Step 6: Final answer
   x = 1,225.35