Finding the Fourth Proportional to 2,564.64, 3,538.56 and 1,445.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.64 : 3,538.56 = 1,445.34 : x
2. Step 2: Convert to fraction form
   2,564.64/3,538.56 = 1,445.34/x
3. Step 3: Cross multiply
   2,564.64x = 3,538.56 × 1,445.34
4. Step 4: Simplify right side
   2,564.64x = 5,114,422.31
5. Step 5: Solve for x
   x = 5,114,422.31/2,564.64
6. Step 6: Final answer
   x = 1,994.21