Finding the Fourth Proportional to 1,564.26, 2,144.70 and 1,536.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.26 : 2,144.70 = 1,536.72 : x
2. Step 2: Convert to fraction form
   1,564.26/2,144.70 = 1,536.72/x
3. Step 3: Cross multiply
   1,564.26x = 2,144.70 × 1,536.72
4. Step 4: Simplify right side
   1,564.26x = 3,295,803.38
5. Step 5: Solve for x
   x = 3,295,803.38/1,564.26
6. Step 6: Final answer
   x = 2,106.94