Finding the Fourth Proportional to 2,084.64, 2,876.78 and 1,200.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.64 : 2,876.78 = 1,200.46 : x
2. Step 2: Convert to fraction form
   2,084.64/2,876.78 = 1,200.46/x
3. Step 3: Cross multiply
   2,084.64x = 2,876.78 × 1,200.46
4. Step 4: Simplify right side
   2,084.64x = 3,453,459.32
5. Step 5: Solve for x
   x = 3,453,459.32/2,084.64
6. Step 6: Final answer
   x = 1,656.62