Finding the Fourth Proportional to 10,946.52, 16,429.50 and 5,106.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.52 : 16,429.50 = 5,106.42 : x
2. Step 2: Convert to fraction form
   10,946.52/16,429.50 = 5,106.42/x
3. Step 3: Cross multiply
   10,946.52x = 16,429.50 × 5,106.42
4. Step 4: Simplify right side
   10,946.52x = 83,895,927.39
5. Step 5: Solve for x
   x = 83,895,927.39/10,946.52
6. Step 6: Final answer
   x = 7,664.16