Finding the Fourth Proportional to 1,605.56, 2,395.25 and 1,564.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.56 : 2,395.25 = 1,564.86 : x
2. Step 2: Convert to fraction form
   1,605.56/2,395.25 = 1,564.86/x
3. Step 3: Cross multiply
   1,605.56x = 2,395.25 × 1,564.86
4. Step 4: Simplify right side
   1,605.56x = 3,748,223.09
5. Step 5: Solve for x
   x = 3,748,223.09/1,605.56
6. Step 6: Final answer
   x = 2,334.53