Finding the Fourth Proportional to 2,045.50, 3,068.28 and 506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.50 : 3,068.28 = 506.50 : x
2. Step 2: Convert to fraction form
   2,045.50/3,068.28 = 506.50/x
3. Step 3: Cross multiply
   2,045.50x = 3,068.28 × 506.50
4. Step 4: Simplify right side
   2,045.50x = 1,554,083.82
5. Step 5: Solve for x
   x = 1,554,083.82/2,045.50
6. Step 6: Final answer
   x = 759.76