Finding the Fourth Proportional to 2,431.86, 3,646.18 and 1,200.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,431.86 : 3,646.18 = 1,200.08 : x
2. Step 2: Convert to fraction form
   2,431.86/3,646.18 = 1,200.08/x
3. Step 3: Cross multiply
   2,431.86x = 3,646.18 × 1,200.08
4. Step 4: Simplify right side
   2,431.86x = 4,375,718.31
5. Step 5: Solve for x
   x = 4,375,718.31/2,431.86
6. Step 6: Final answer
   x = 1,799.33