Finding the Fourth Proportional to 6,185.34, 9,277.83 and 2,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185.34 : 9,277.83 = 2,290.50 : x
2. Step 2: Convert to fraction form
   6,185.34/9,277.83 = 2,290.50/x
3. Step 3: Cross multiply
   6,185.34x = 9,277.83 × 2,290.50
4. Step 4: Simplify right side
   6,185.34x = 21,250,869.62
5. Step 5: Solve for x
   x = 21,250,869.62/6,185.34
6. Step 6: Final answer
   x = 3,435.68