Finding the Fourth Proportional to 2,553.56, 3,830.76 and 1,255.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.56 : 3,830.76 = 1,255.16 : x
2. Step 2: Convert to fraction form
   2,553.56/3,830.76 = 1,255.16/x
3. Step 3: Cross multiply
   2,553.56x = 3,830.76 × 1,255.16
4. Step 4: Simplify right side
   2,553.56x = 4,808,216.72
5. Step 5: Solve for x
   x = 4,808,216.72/2,553.56
6. Step 6: Final answer
   x = 1,882.95