Finding the Fourth Proportional to 1,091.87, 1,506.78 and 594.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.87 : 1,506.78 = 594.51 : x
2. Step 2: Convert to fraction form
   1,091.87/1,506.78 = 594.51/x
3. Step 3: Cross multiply
   1,091.87x = 1,506.78 × 594.51
4. Step 4: Simplify right side
   1,091.87x = 895,787.90
5. Step 5: Solve for x
   x = 895,787.90/1,091.87
6. Step 6: Final answer
   x = 820.42