Finding the Fourth Proportional to 1,686.21, 2,325.83 and 1,464.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.21 : 2,325.83 = 1,464.77 : x
2. Step 2: Convert to fraction form
   1,686.21/2,325.83 = 1,464.77/x
3. Step 3: Cross multiply
   1,686.21x = 2,325.83 × 1,464.77
4. Step 4: Simplify right side
   1,686.21x = 3,406,806.01
5. Step 5: Solve for x
   x = 3,406,806.01/1,686.21
6. Step 6: Final answer
   x = 2,020.39