Finding the Fourth Proportional to 2,523.69, 3,778.25 and 1,546.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.69 : 3,778.25 = 1,546.83 : x
2. Step 2: Convert to fraction form
   2,523.69/3,778.25 = 1,546.83/x
3. Step 3: Cross multiply
   2,523.69x = 3,778.25 × 1,546.83
4. Step 4: Simplify right side
   2,523.69x = 5,844,302.71
5. Step 5: Solve for x
   x = 5,844,302.71/2,523.69
6. Step 6: Final answer
   x = 2,315.78