Finding the Fourth Proportional to 2,564.86, 3,539.50 and 1,446.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.86 : 3,539.50 = 1,446.07 : x
2. Step 2: Convert to fraction form
   2,564.86/3,539.50 = 1,446.07/x
3. Step 3: Cross multiply
   2,564.86x = 3,539.50 × 1,446.07
4. Step 4: Simplify right side
   2,564.86x = 5,118,364.77
5. Step 5: Solve for x
   x = 5,118,364.77/2,564.86
6. Step 6: Final answer
   x = 1,995.57