Finding the Fourth Proportional to 2,185.36, 3,014.70 and 1,564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.36 : 3,014.70 = 1,564.72 : x
2. Step 2: Convert to fraction form
   2,185.36/3,014.70 = 1,564.72/x
3. Step 3: Cross multiply
   2,185.36x = 3,014.70 × 1,564.72
4. Step 4: Simplify right side
   2,185.36x = 4,717,161.38
5. Step 5: Solve for x
   x = 4,717,161.38/2,185.36
6. Step 6: Final answer
   x = 2,158.53