Finding the Fourth Proportional to 1,091.94, 1,638.15 and 514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.94 : 1,638.15 = 514.50 : x
2. Step 2: Convert to fraction form
   1,091.94/1,638.15 = 514.50/x
3. Step 3: Cross multiply
   1,091.94x = 1,638.15 × 514.50
4. Step 4: Simplify right side
   1,091.94x = 842,828.18
5. Step 5: Solve for x
   x = 842,828.18/1,091.94
6. Step 6: Final answer
   x = 771.86