Finding the Fourth Proportional to 1,978.14, 2,729.84 and 1,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.14 : 2,729.84 = 1,381.50 : x
2. Step 2: Convert to fraction form
   1,978.14/2,729.84 = 1,381.50/x
3. Step 3: Cross multiply
   1,978.14x = 2,729.84 × 1,381.50
4. Step 4: Simplify right side
   1,978.14x = 3,771,273.96
5. Step 5: Solve for x
   x = 3,771,273.96/1,978.14
6. Step 6: Final answer
   x = 1,906.47