Finding the Fourth Proportional to 2,558.53, 3,817.84 and 2,282.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.53 : 3,817.84 = 2,282.72 : x
2. Step 2: Convert to fraction form
   2,558.53/3,817.84 = 2,282.72/x
3. Step 3: Cross multiply
   2,558.53x = 3,817.84 × 2,282.72
4. Step 4: Simplify right side
   2,558.53x = 8,715,063.56
5. Step 5: Solve for x
   x = 8,715,063.56/2,558.53
6. Step 6: Final answer
   x = 3,406.28