Finding the Fourth Proportional to 1,667.82, 2,502.12 and 513.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.82 : 2,502.12 = 513.57 : x
2. Step 2: Convert to fraction form
   1,667.82/2,502.12 = 513.57/x
3. Step 3: Cross multiply
   1,667.82x = 2,502.12 × 513.57
4. Step 4: Simplify right side
   1,667.82x = 1,285,013.77
5. Step 5: Solve for x
   x = 1,285,013.77/1,667.82
6. Step 6: Final answer
   x = 770.48