Finding the Fourth Proportional to 1,181.90, 1,771.59 and 564.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.90 : 1,771.59 = 564.76 : x
2. Step 2: Convert to fraction form
   1,181.90/1,771.59 = 564.76/x
3. Step 3: Cross multiply
   1,181.90x = 1,771.59 × 564.76
4. Step 4: Simplify right side
   1,181.90x = 1,000,514.31
5. Step 5: Solve for x
   x = 1,000,514.31/1,181.90
6. Step 6: Final answer
   x = 846.53