Finding the Fourth Proportional to 1,091.85, 1,506.82 and 594.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.85 : 1,506.82 = 594.48 : x
2. Step 2: Convert to fraction form
   1,091.85/1,506.82 = 594.48/x
3. Step 3: Cross multiply
   1,091.85x = 1,506.82 × 594.48
4. Step 4: Simplify right side
   1,091.85x = 895,773.72
5. Step 5: Solve for x
   x = 895,773.72/1,091.85
6. Step 6: Final answer
   x = 820.42