Finding the Fourth Proportional to 2,539.35, 3,806.29 and 1,564.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.35 : 3,806.29 = 1,564.31 : x
2. Step 2: Convert to fraction form
   2,539.35/3,806.29 = 1,564.31/x
3. Step 3: Cross multiply
   2,539.35x = 3,806.29 × 1,564.31
4. Step 4: Simplify right side
   2,539.35x = 5,954,228.98
5. Step 5: Solve for x
   x = 5,954,228.98/2,539.35
6. Step 6: Final answer
   x = 2,344.78