Finding the Fourth Proportional to 2,564.32, 3,538.62 and 1,445.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.32 : 3,538.62 = 1,445.24 : x
2. Step 2: Convert to fraction form
   2,564.32/3,538.62 = 1,445.24/x
3. Step 3: Cross multiply
   2,564.32x = 3,538.62 × 1,445.24
4. Step 4: Simplify right side
   2,564.32x = 5,114,155.17
5. Step 5: Solve for x
   x = 5,114,155.17/2,564.32
6. Step 6: Final answer
   x = 1,994.35