Finding the Fourth Proportional to 1,091.46, 1,506.22 and 594.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.46 : 1,506.22 = 594.10 : x
2. Step 2: Convert to fraction form
   1,091.46/1,506.22 = 594.10/x
3. Step 3: Cross multiply
   1,091.46x = 1,506.22 × 594.10
4. Step 4: Simplify right side
   1,091.46x = 894,845.30
5. Step 5: Solve for x
   x = 894,845.30/1,091.46
6. Step 6: Final answer
   x = 819.86