Finding the Fourth Proportional to 1,101.21, 1,649.52 and 516.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.21 : 1,649.52 = 516.72 : x
2. Step 2: Convert to fraction form
   1,101.21/1,649.52 = 516.72/x
3. Step 3: Cross multiply
   1,101.21x = 1,649.52 × 516.72
4. Step 4: Simplify right side
   1,101.21x = 852,339.97
5. Step 5: Solve for x
   x = 852,339.97/1,101.21
6. Step 6: Final answer
   x = 774.00