Finding the Fourth Proportional to 1,091.69, 1,638.25 and 514.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.69 : 1,638.25 = 514.61 : x
2. Step 2: Convert to fraction form
   1,091.69/1,638.25 = 514.61/x
3. Step 3: Cross multiply
   1,091.69x = 1,638.25 × 514.61
4. Step 4: Simplify right side
   1,091.69x = 843,059.83
5. Step 5: Solve for x
   x = 843,059.83/1,091.69
6. Step 6: Final answer
   x = 772.25