Finding the Fourth Proportional to 1,667.26, 2,499.99 and 512.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.26 : 2,499.99 = 512.86 : x
2. Step 2: Convert to fraction form
   1,667.26/2,499.99 = 512.86/x
3. Step 3: Cross multiply
   1,667.26x = 2,499.99 × 512.86
4. Step 4: Simplify right side
   1,667.26x = 1,282,144.87
5. Step 5: Solve for x
   x = 1,282,144.87/1,667.26
6. Step 6: Final answer
   x = 769.01