Finding the Fourth Proportional to 1,667.89, 2,502.42 and 513.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.89 : 2,502.42 = 513.64 : x
2. Step 2: Convert to fraction form
   1,667.89/2,502.42 = 513.64/x
3. Step 3: Cross multiply
   1,667.89x = 2,502.42 × 513.64
4. Step 4: Simplify right side
   1,667.89x = 1,285,343.01
5. Step 5: Solve for x
   x = 1,285,343.01/1,667.89
6. Step 6: Final answer
   x = 770.64