Finding the Fourth Proportional to 1,164.11, 1,746.83 and 514.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.11 : 1,746.83 = 514.82 : x
2. Step 2: Convert to fraction form
   1,164.11/1,746.83 = 514.82/x
3. Step 3: Cross multiply
   1,164.11x = 1,746.83 × 514.82
4. Step 4: Simplify right side
   1,164.11x = 899,308.67
5. Step 5: Solve for x
   x = 899,308.67/1,164.11
6. Step 6: Final answer
   x = 772.53