Finding the Fourth Proportional to 1,983.69, 2,978.78 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,983.69 : 2,978.78 = 830.25 : x
2. Step 2: Convert to fraction form
   1,983.69/2,978.78 = 830.25/x
3. Step 3: Cross multiply
   1,983.69x = 2,978.78 × 830.25
4. Step 4: Simplify right side
   1,983.69x = 2,473,127.94
5. Step 5: Solve for x
   x = 2,473,127.94/1,983.69
6. Step 6: Final answer
   x = 1,246.73