Finding the Fourth Proportional to 1,978.82, 2,969.70 and 938.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.82 : 2,969.70 = 938.82 : x
2. Step 2: Convert to fraction form
   1,978.82/2,969.70 = 938.82/x
3. Step 3: Cross multiply
   1,978.82x = 2,969.70 × 938.82
4. Step 4: Simplify right side
   1,978.82x = 2,788,013.75
5. Step 5: Solve for x
   x = 2,788,013.75/1,978.82
6. Step 6: Final answer
   x = 1,408.93