Finding the Fourth Proportional to 1,089.06, 1,632.14 and 510.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.06 : 1,632.14 = 510.72 : x
2. Step 2: Convert to fraction form
   1,089.06/1,632.14 = 510.72/x
3. Step 3: Cross multiply
   1,089.06x = 1,632.14 × 510.72
4. Step 4: Simplify right side
   1,089.06x = 833,566.54
5. Step 5: Solve for x
   x = 833,566.54/1,089.06
6. Step 6: Final answer
   x = 765.40