Finding the Fourth Proportional to 1,564.76, 2,159.34 and 856.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.76 : 2,159.34 = 856.59 : x
2. Step 2: Convert to fraction form
   1,564.76/2,159.34 = 856.59/x
3. Step 3: Cross multiply
   1,564.76x = 2,159.34 × 856.59
4. Step 4: Simplify right side
   1,564.76x = 1,849,666.35
5. Step 5: Solve for x
   x = 1,849,666.35/1,564.76
6. Step 6: Final answer
   x = 1,182.07