Finding the Fourth Proportional to 1,182.54, 1,772.61 and 565.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.54 : 1,772.61 = 565.34 : x
2. Step 2: Convert to fraction form
   1,182.54/1,772.61 = 565.34/x
3. Step 3: Cross multiply
   1,182.54x = 1,772.61 × 565.34
4. Step 4: Simplify right side
   1,182.54x = 1,002,127.34
5. Step 5: Solve for x
   x = 1,002,127.34/1,182.54
6. Step 6: Final answer
   x = 847.44