Finding the Fourth Proportional to 2,627.11, 3,623.82 and 1,564.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.11 : 3,623.82 = 1,564.17 : x
2. Step 2: Convert to fraction form
   2,627.11/3,623.82 = 1,564.17/x
3. Step 3: Cross multiply
   2,627.11x = 3,623.82 × 1,564.17
4. Step 4: Simplify right side
   2,627.11x = 5,668,256.94
5. Step 5: Solve for x
   x = 5,668,256.94/2,627.11
6. Step 6: Final answer
   x = 2,157.60