Finding the Fourth Proportional to 9,378.27, 12,941.51 and 5,186.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378.27 : 12,941.51 = 5,186.25 : x
2. Step 2: Convert to fraction form
   9,378.27/12,941.51 = 5,186.25/x
3. Step 3: Cross multiply
   9,378.27x = 12,941.51 × 5,186.25
4. Step 4: Simplify right side
   9,378.27x = 67,117,880.31
5. Step 5: Solve for x
   x = 67,117,880.31/9,378.27
6. Step 6: Final answer
   x = 7,156.74