Finding the Fourth Proportional to 1,091.06, 1,634.96 and 512.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.06 : 1,634.96 = 512.72 : x
2. Step 2: Convert to fraction form
   1,091.06/1,634.96 = 512.72/x
3. Step 3: Cross multiply
   1,091.06x = 1,634.96 × 512.72
4. Step 4: Simplify right side
   1,091.06x = 838,276.69
5. Step 5: Solve for x
   x = 838,276.69/1,091.06
6. Step 6: Final answer
   x = 768.31