Finding the Fourth Proportional to 1,682.69, 2,524.83 and 758.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682.69 : 2,524.83 = 758.53 : x
2. Step 2: Convert to fraction form
   1,682.69/2,524.83 = 758.53/x
3. Step 3: Cross multiply
   1,682.69x = 2,524.83 × 758.53
4. Step 4: Simplify right side
   1,682.69x = 1,915,159.61
5. Step 5: Solve for x
   x = 1,915,159.61/1,682.69
6. Step 6: Final answer
   x = 1,138.16