Finding the Fourth Proportional to 10,942.02, 16,414.65 and 5,748.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,942.02 : 16,414.65 = 5,748.30 : x
2. Step 2: Convert to fraction form
   10,942.02/16,414.65 = 5,748.30/x
3. Step 3: Cross multiply
   10,942.02x = 16,414.65 × 5,748.30
4. Step 4: Simplify right side
   10,942.02x = 94,356,332.60
5. Step 5: Solve for x
   x = 94,356,332.60/10,942.02
6. Step 6: Final answer
   x = 8,623.30