Finding the Fourth Proportional to 1,686.96, 2,528.32 and 1,200.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.96 : 2,528.32 = 1,200.12 : x
2. Step 2: Convert to fraction form
   1,686.96/2,528.32 = 1,200.12/x
3. Step 3: Cross multiply
   1,686.96x = 2,528.32 × 1,200.12
4. Step 4: Simplify right side
   1,686.96x = 3,034,287.40
5. Step 5: Solve for x
   x = 3,034,287.40/1,686.96
6. Step 6: Final answer
   x = 1,798.67