Finding the Fourth Proportional to 9,381.66, 12,946.77 and 5,190.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.66 : 12,946.77 = 5,190.18 : x
2. Step 2: Convert to fraction form
   9,381.66/12,946.77 = 5,190.18/x
3. Step 3: Cross multiply
   9,381.66x = 12,946.77 × 5,190.18
4. Step 4: Simplify right side
   9,381.66x = 67,196,066.72
5. Step 5: Solve for x
   x = 67,196,066.72/9,381.66
6. Step 6: Final answer
   x = 7,162.49