Finding the Fourth Proportional to 10,946.10, 16,424.58 and 5,103.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.10 : 16,424.58 = 5,103.14 : x
2. Step 2: Convert to fraction form
   10,946.10/16,424.58 = 5,103.14/x
3. Step 3: Cross multiply
   10,946.10x = 16,424.58 × 5,103.14
4. Step 4: Simplify right side
   10,946.10x = 83,816,931.18
5. Step 5: Solve for x
   x = 83,816,931.18/10,946.10
6. Step 6: Final answer
   x = 7,657.24