Finding the Fourth Proportional to 1,181.41, 1,771.35 and 565.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.41 : 1,771.35 = 565.10 : x
2. Step 2: Convert to fraction form
   1,181.41/1,771.35 = 565.10/x
3. Step 3: Cross multiply
   1,181.41x = 1,771.35 × 565.10
4. Step 4: Simplify right side
   1,181.41x = 1,000,989.89
5. Step 5: Solve for x
   x = 1,000,989.89/1,181.41
6. Step 6: Final answer
   x = 847.28