Finding the Fourth Proportional to 2,122.69, 3,178.10 and 1,601.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,122.69 : 3,178.10 = 1,601.06 : x
2. Step 2: Convert to fraction form
   2,122.69/3,178.10 = 1,601.06/x
3. Step 3: Cross multiply
   2,122.69x = 3,178.10 × 1,601.06
4. Step 4: Simplify right side
   2,122.69x = 5,088,310.89
5. Step 5: Solve for x
   x = 5,088,310.89/2,122.69
6. Step 6: Final answer
   x = 2,397.11