Finding the Fourth Proportional to 2,652.78, 3,978.64 and 803.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,652.78 : 3,978.64 = 803.46 : x
2. Step 2: Convert to fraction form
   2,652.78/3,978.64 = 803.46/x
3. Step 3: Cross multiply
   2,652.78x = 3,978.64 × 803.46
4. Step 4: Simplify right side
   2,652.78x = 3,196,694.02
5. Step 5: Solve for x
   x = 3,196,694.02/2,652.78
6. Step 6: Final answer
   x = 1,205.03