Finding the Fourth Proportional to 1,978.50, 2,965.81 and 1,101.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.50 : 2,965.81 = 1,101.42 : x
2. Step 2: Convert to fraction form
   1,978.50/2,965.81 = 1,101.42/x
3. Step 3: Cross multiply
   1,978.50x = 2,965.81 × 1,101.42
4. Step 4: Simplify right side
   1,978.50x = 3,266,610.82
5. Step 5: Solve for x
   x = 3,266,610.82/1,978.50
6. Step 6: Final answer
   x = 1,651.05