Finding the Fourth Proportional to 9,378.29, 12,941.56 and 5,185.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378.29 : 12,941.56 = 5,185.73 : x
2. Step 2: Convert to fraction form
   9,378.29/12,941.56 = 5,185.73/x
3. Step 3: Cross multiply
   9,378.29x = 12,941.56 × 5,185.73
4. Step 4: Simplify right side
   9,378.29x = 67,111,435.94
5. Step 5: Solve for x
   x = 67,111,435.94/9,378.29
6. Step 6: Final answer
   x = 7,156.04