Finding the Fourth Proportional to 10,758.51, 16,123.17 and 5,200.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.51 : 16,123.17 = 5,200.79 : x
2. Step 2: Convert to fraction form
   10,758.51/16,123.17 = 5,200.79/x
3. Step 3: Cross multiply
   10,758.51x = 16,123.17 × 5,200.79
4. Step 4: Simplify right side
   10,758.51x = 83,853,140.69
5. Step 5: Solve for x
   x = 83,853,140.69/10,758.51
6. Step 6: Final answer
   x = 7,794.12