Finding the Fourth Proportional to 1,091.69, 1,506.54 and 594.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.69 : 1,506.54 = 594.34 : x
2. Step 2: Convert to fraction form
   1,091.69/1,506.54 = 594.34/x
3. Step 3: Cross multiply
   1,091.69x = 1,506.54 × 594.34
4. Step 4: Simplify right side
   1,091.69x = 895,389.45
5. Step 5: Solve for x
   x = 895,389.45/1,091.69
6. Step 6: Final answer
   x = 820.19