Finding the Fourth Proportional to 3,855.74, 5,780.37 and 3,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,855.74 : 5,780.37 = 3,123.50 : x
2. Step 2: Convert to fraction form
   3,855.74/5,780.37 = 3,123.50/x
3. Step 3: Cross multiply
   3,855.74x = 5,780.37 × 3,123.50
4. Step 4: Simplify right side
   3,855.74x = 18,054,985.70
5. Step 5: Solve for x
   x = 18,054,985.70/3,855.74
6. Step 6: Final answer
   x = 4,682.63