Finding the Fourth Proportional to 1,665.98, 2,499.33 and 511.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.98 : 2,499.33 = 511.82 : x
2. Step 2: Convert to fraction form
   1,665.98/2,499.33 = 511.82/x
3. Step 3: Cross multiply
   1,665.98x = 2,499.33 × 511.82
4. Step 4: Simplify right side
   1,665.98x = 1,279,207.08
5. Step 5: Solve for x
   x = 1,279,207.08/1,665.98
6. Step 6: Final answer
   x = 767.84