Finding the Fourth Proportional to 2,564.00, 3,538.49 and 1,445.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.00 : 3,538.49 = 1,445.04 : x
2. Step 2: Convert to fraction form
   2,564.00/3,538.49 = 1,445.04/x
3. Step 3: Cross multiply
   2,564.00x = 3,538.49 × 1,445.04
4. Step 4: Simplify right side
   2,564.00x = 5,113,252.36
5. Step 5: Solve for x
   x = 5,113,252.36/2,564.00
6. Step 6: Final answer
   x = 1,994.24