Finding the Fourth Proportional to 1,178.48, 1,766.58 and 562.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.48 : 1,766.58 = 562.72 : x
2. Step 2: Convert to fraction form
   1,178.48/1,766.58 = 562.72/x
3. Step 3: Cross multiply
   1,178.48x = 1,766.58 × 562.72
4. Step 4: Simplify right side
   1,178.48x = 994,089.90
5. Step 5: Solve for x
   x = 994,089.90/1,178.48
6. Step 6: Final answer
   x = 843.54