Finding the Fourth Proportional to 2,564.66, 3,538.96 and 1,445.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.66 : 3,538.96 = 1,445.57 : x
2. Step 2: Convert to fraction form
   2,564.66/3,538.96 = 1,445.57/x
3. Step 3: Cross multiply
   2,564.66x = 3,538.96 × 1,445.57
4. Step 4: Simplify right side
   2,564.66x = 5,115,814.41
5. Step 5: Solve for x
   x = 5,115,814.41/2,564.66
6. Step 6: Final answer
   x = 1,994.73