Finding the Fourth Proportional to 1,684.10, 2,362.60 and 1,684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.10 : 2,362.60 = 1,684.10 : x
2. Step 2: Convert to fraction form
   1,684.10/2,362.60 = 1,684.10/x
3. Step 3: Cross multiply
   1,684.10x = 2,362.60 × 1,684.10
4. Step 4: Simplify right side
   1,684.10x = 3,978,854.66
5. Step 5: Solve for x
   x = 3,978,854.66/1,684.10
6. Step 6: Final answer
   x = 2,362.60