Finding the Fourth Proportional to 3,784.30, 5,223 and 2,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.30 : 5,223 = 2,293.50 : x
2. Step 2: Convert to fraction form
   3,784.30/5,223 = 2,293.50/x
3. Step 3: Cross multiply
   3,784.30x = 5,223 × 2,293.50
4. Step 4: Simplify right side
   3,784.30x = 11,978,950.50
5. Step 5: Solve for x
   x = 11,978,950.50/3,784.30
6. Step 6: Final answer
   x = 3,165.43