Finding the Fourth Proportional to 5,105.83, 7,658.93 and 1,596.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.83 : 7,658.93 = 1,596.16 : x
2. Step 2: Convert to fraction form
   5,105.83/7,658.93 = 1,596.16/x
3. Step 3: Cross multiply
   5,105.83x = 7,658.93 × 1,596.16
4. Step 4: Simplify right side
   5,105.83x = 12,224,843.40
5. Step 5: Solve for x
   x = 12,224,843.40/5,105.83
6. Step 6: Final answer
   x = 2,394.29