Finding the Fourth Proportional to 1,696.56, 2,542.53 and 1,646.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,696.56 : 2,542.53 = 1,646.69 : x
2. Step 2: Convert to fraction form
   1,696.56/2,542.53 = 1,646.69/x
3. Step 3: Cross multiply
   1,696.56x = 2,542.53 × 1,646.69
4. Step 4: Simplify right side
   1,696.56x = 4,186,758.73
5. Step 5: Solve for x
   x = 4,186,758.73/1,696.56
6. Step 6: Final answer
   x = 2,467.79