Finding the Fourth Proportional to 1,564.70, 2,159.33 and 856.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.70 : 2,159.33 = 856.58 : x
2. Step 2: Convert to fraction form
   1,564.70/2,159.33 = 856.58/x
3. Step 3: Cross multiply
   1,564.70x = 2,159.33 × 856.58
4. Step 4: Simplify right side
   1,564.70x = 1,849,638.89
5. Step 5: Solve for x
   x = 1,849,638.89/1,564.70
6. Step 6: Final answer
   x = 1,182.10