Finding the Fourth Proportional to 9,184.28, 13,774.73 and 4,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,184.28 : 13,774.73 = 4,185.50 : x
2. Step 2: Convert to fraction form
   9,184.28/13,774.73 = 4,185.50/x
3. Step 3: Cross multiply
   9,184.28x = 13,774.73 × 4,185.50
4. Step 4: Simplify right side
   9,184.28x = 57,654,042.61
5. Step 5: Solve for x
   x = 57,654,042.61/9,184.28
6. Step 6: Final answer
   x = 6,277.47