Finding the Fourth Proportional to 1,685.83, 2,537.85 and 1,516.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.83 : 2,537.85 = 1,516.30 : x
2. Step 2: Convert to fraction form
   1,685.83/2,537.85 = 1,516.30/x
3. Step 3: Cross multiply
   1,685.83x = 2,537.85 × 1,516.30
4. Step 4: Simplify right side
   1,685.83x = 3,848,129.27
5. Step 5: Solve for x
   x = 3,848,129.27/1,685.83
6. Step 6: Final answer
   x = 2,282.63