Finding the Fourth Proportional to 2,563.85, 3,538.12 and 1,384.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.85 : 3,538.12 = 1,384.92 : x
2. Step 2: Convert to fraction form
   2,563.85/3,538.12 = 1,384.92/x
3. Step 3: Cross multiply
   2,563.85x = 3,538.12 × 1,384.92
4. Step 4: Simplify right side
   2,563.85x = 4,900,016.32
5. Step 5: Solve for x
   x = 4,900,016.32/2,563.85
6. Step 6: Final answer
   x = 1,911.19