Finding the Fourth Proportional to 1,182.04, 1,771.86 and 564.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.04 : 1,771.86 = 564.84 : x
2. Step 2: Convert to fraction form
   1,182.04/1,771.86 = 564.84/x
3. Step 3: Cross multiply
   1,182.04x = 1,771.86 × 564.84
4. Step 4: Simplify right side
   1,182.04x = 1,000,817.40
5. Step 5: Solve for x
   x = 1,000,817.40/1,182.04
6. Step 6: Final answer
   x = 846.69