Finding the Fourth Proportional to 2,564.16, 3,538.27 and 1,445.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.16 : 3,538.27 = 1,445.07 : x
2. Step 2: Convert to fraction form
   2,564.16/3,538.27 = 1,445.07/x
3. Step 3: Cross multiply
   2,564.16x = 3,538.27 × 1,445.07
4. Step 4: Simplify right side
   2,564.16x = 5,113,047.83
5. Step 5: Solve for x
   x = 5,113,047.83/2,564.16
6. Step 6: Final answer
   x = 1,994.04