Finding the Fourth Proportional to 10,426.29, 14,384.69 and 5,946.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.29 : 14,384.69 = 5,946.81 : x
2. Step 2: Convert to fraction form
   10,426.29/14,384.69 = 5,946.81/x
3. Step 3: Cross multiply
   10,426.29x = 14,384.69 × 5,946.81
4. Step 4: Simplify right side
   10,426.29x = 85,542,988.60
5. Step 5: Solve for x
   x = 85,542,988.60/10,426.29
6. Step 6: Final answer
   x = 8,204.55