Finding the Fourth Proportional to 1,678.73, 2,316.77 and 970.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.73 : 2,316.77 = 970.82 : x
2. Step 2: Convert to fraction form
   1,678.73/2,316.77 = 970.82/x
3. Step 3: Cross multiply
   1,678.73x = 2,316.77 × 970.82
4. Step 4: Simplify right side
   1,678.73x = 2,249,150.21
5. Step 5: Solve for x
   x = 2,249,150.21/1,678.73
6. Step 6: Final answer
   x = 1,339.80