Finding the Fourth Proportional to 1,676.45, 2,513.69 and 506.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,676.45 : 2,513.69 = 506.10 : x
2. Step 2: Convert to fraction form
   1,676.45/2,513.69 = 506.10/x
3. Step 3: Cross multiply
   1,676.45x = 2,513.69 × 506.10
4. Step 4: Simplify right side
   1,676.45x = 1,272,172.45
5. Step 5: Solve for x
   x = 1,272,172.45/1,676.45
6. Step 6: Final answer
   x = 758.85