Finding the Fourth Proportional to 1,978.51, 2,731.16 and 1,192.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.51 : 2,731.16 = 1,192.94 : x
2. Step 2: Convert to fraction form
   1,978.51/2,731.16 = 1,192.94/x
3. Step 3: Cross multiply
   1,978.51x = 2,731.16 × 1,192.94
4. Step 4: Simplify right side
   1,978.51x = 3,258,110.01
5. Step 5: Solve for x
   x = 3,258,110.01/1,978.51
6. Step 6: Final answer
   x = 1,646.75