Finding the Fourth Proportional to 2,564.12, 3,538.17 and 1,445.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.12 : 3,538.17 = 1,445.02 : x
2. Step 2: Convert to fraction form
   2,564.12/3,538.17 = 1,445.02/x
3. Step 3: Cross multiply
   2,564.12x = 3,538.17 × 1,445.02
4. Step 4: Simplify right side
   2,564.12x = 5,112,708.72
5. Step 5: Solve for x
   x = 5,112,708.72/2,564.12
6. Step 6: Final answer
   x = 1,993.95