Finding the Fourth Proportional to 1,091.69, 1,506.50 and 594.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.69 : 1,506.50 = 594.32 : x
2. Step 2: Convert to fraction form
   1,091.69/1,506.50 = 594.32/x
3. Step 3: Cross multiply
   1,091.69x = 1,506.50 × 594.32
4. Step 4: Simplify right side
   1,091.69x = 895,332.58
5. Step 5: Solve for x
   x = 895,332.58/1,091.69
6. Step 6: Final answer
   x = 820.14