Finding the Fourth Proportional to 2,564.38, 3,538.71 and 1,445.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.38 : 3,538.71 = 1,445.32 : x
2. Step 2: Convert to fraction form
   2,564.38/3,538.71 = 1,445.32/x
3. Step 3: Cross multiply
   2,564.38x = 3,538.71 × 1,445.32
4. Step 4: Simplify right side
   2,564.38x = 5,114,568.34
5. Step 5: Solve for x
   x = 5,114,568.34/2,564.38
6. Step 6: Final answer
   x = 1,994.47