Finding the Fourth Proportional to 1,567.72, 2,163.42 and 869.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.72 : 2,163.42 = 869.10 : x
2. Step 2: Convert to fraction form
   1,567.72/2,163.42 = 869.10/x
3. Step 3: Cross multiply
   1,567.72x = 2,163.42 × 869.10
4. Step 4: Simplify right side
   1,567.72x = 1,880,228.32
5. Step 5: Solve for x
   x = 1,880,228.32/1,567.72
6. Step 6: Final answer
   x = 1,199.34