Finding the Fourth Proportional to 1,181.88, 1,774.06 and 566.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.88 : 1,774.06 = 566.10 : x
2. Step 2: Convert to fraction form
   1,181.88/1,774.06 = 566.10/x
3. Step 3: Cross multiply
   1,181.88x = 1,774.06 × 566.10
4. Step 4: Simplify right side
   1,181.88x = 1,004,295.37
5. Step 5: Solve for x
   x = 1,004,295.37/1,181.88
6. Step 6: Final answer
   x = 849.74