Finding the Fourth Proportional to 2,071.96, 3,109.10 and 1,610.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.96 : 3,109.10 = 1,610.66 : x
2. Step 2: Convert to fraction form
   2,071.96/3,109.10 = 1,610.66/x
3. Step 3: Cross multiply
   2,071.96x = 3,109.10 × 1,610.66
4. Step 4: Simplify right side
   2,071.96x = 5,007,702.73
5. Step 5: Solve for x
   x = 5,007,702.73/2,071.96
6. Step 6: Final answer
   x = 2,416.89