Finding the Fourth Proportional to 2,563.82, 3,538.06 and 1,384.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.82 : 3,538.06 = 1,384.89 : x
2. Step 2: Convert to fraction form
   2,563.82/3,538.06 = 1,384.89/x
3. Step 3: Cross multiply
   2,563.82x = 3,538.06 × 1,384.89
4. Step 4: Simplify right side
   2,563.82x = 4,899,806.22
5. Step 5: Solve for x
   x = 4,899,806.22/2,563.82
6. Step 6: Final answer
   x = 1,911.14