Finding the Fourth Proportional to 1,978.14, 2,729.85 and 1,192.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.14 : 2,729.85 = 1,192.02 : x
2. Step 2: Convert to fraction form
   1,978.14/2,729.85 = 1,192.02/x
3. Step 3: Cross multiply
   1,978.14x = 2,729.85 × 1,192.02
4. Step 4: Simplify right side
   1,978.14x = 3,254,035.80
5. Step 5: Solve for x
   x = 3,254,035.80/1,978.14
6. Step 6: Final answer
   x = 1,645.00