Finding the Fourth Proportional to 1,091.94, 1,506.90 and 594.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.94 : 1,506.90 = 594.59 : x
2. Step 2: Convert to fraction form
   1,091.94/1,506.90 = 594.59/x
3. Step 3: Cross multiply
   1,091.94x = 1,506.90 × 594.59
4. Step 4: Simplify right side
   1,091.94x = 895,980.14
5. Step 5: Solve for x
   x = 895,980.14/1,091.94
6. Step 6: Final answer
   x = 820.54