Finding the Fourth Proportional to 1,564.86, 2,159.49 and 856.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.86 : 2,159.49 = 856.72 : x
2. Step 2: Convert to fraction form
   1,564.86/2,159.49 = 856.72/x
3. Step 3: Cross multiply
   1,564.86x = 2,159.49 × 856.72
4. Step 4: Simplify right side
   1,564.86x = 1,850,072.04
5. Step 5: Solve for x
   x = 1,850,072.04/1,564.86
6. Step 6: Final answer
   x = 1,182.26