Finding the Fourth Proportional to 1,179.43, 1,767.78 and 562.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.43 : 1,767.78 = 562.30 : x
2. Step 2: Convert to fraction form
   1,179.43/1,767.78 = 562.30/x
3. Step 3: Cross multiply
   1,179.43x = 1,767.78 × 562.30
4. Step 4: Simplify right side
   1,179.43x = 994,018.27
5. Step 5: Solve for x
   x = 994,018.27/1,179.43
6. Step 6: Final answer
   x = 842.80