Finding the Fourth Proportional to 1,091.83, 1,506.71 and 594.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.83 : 1,506.71 = 594.46 : x
2. Step 2: Convert to fraction form
   1,091.83/1,506.71 = 594.46/x
3. Step 3: Cross multiply
   1,091.83x = 1,506.71 × 594.46
4. Step 4: Simplify right side
   1,091.83x = 895,672.09
5. Step 5: Solve for x
   x = 895,672.09/1,091.83
6. Step 6: Final answer
   x = 820.34