Finding the Fourth Proportional to 1,564.52, 2,158.82 and 892.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.52 : 2,158.82 = 892.22 : x
2. Step 2: Convert to fraction form
   1,564.52/2,158.82 = 892.22/x
3. Step 3: Cross multiply
   1,564.52x = 2,158.82 × 892.22
4. Step 4: Simplify right side
   1,564.52x = 1,926,144.60
5. Step 5: Solve for x
   x = 1,926,144.60/1,564.52
6. Step 6: Final answer
   x = 1,231.14