Finding the Fourth Proportional to 1,091.88, 1,506.76 and 594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.88 : 1,506.76 = 594.50 : x
2. Step 2: Convert to fraction form
   1,091.88/1,506.76 = 594.50/x
3. Step 3: Cross multiply
   1,091.88x = 1,506.76 × 594.50
4. Step 4: Simplify right side
   1,091.88x = 895,768.82
5. Step 5: Solve for x
   x = 895,768.82/1,091.88
6. Step 6: Final answer
   x = 820.39