Finding the Fourth Proportional to 2,405.25, 3,319.81 and 1,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.25 : 3,319.81 = 1,564.50 : x
2. Step 2: Convert to fraction form
   2,405.25/3,319.81 = 1,564.50/x
3. Step 3: Cross multiply
   2,405.25x = 3,319.81 × 1,564.50
4. Step 4: Simplify right side
   2,405.25x = 5,193,851.28
5. Step 5: Solve for x
   x = 5,193,851.28/2,405.25
6. Step 6: Final answer
   x = 2,159.38