Finding the Fourth Proportional to 2,564.25, 3,538.25 and 1,444.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.25 : 3,538.25 = 1,444.93 : x
2. Step 2: Convert to fraction form
   2,564.25/3,538.25 = 1,444.93/x
3. Step 3: Cross multiply
   2,564.25x = 3,538.25 × 1,444.93
4. Step 4: Simplify right side
   2,564.25x = 5,112,516.35
5. Step 5: Solve for x
   x = 5,112,516.35/2,564.25
6. Step 6: Final answer
   x = 1,993.77