Finding the Fourth Proportional to 1,683.86, 2,324.06 and 975.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.86 : 2,324.06 = 975.82 : x
2. Step 2: Convert to fraction form
   1,683.86/2,324.06 = 975.82/x
3. Step 3: Cross multiply
   1,683.86x = 2,324.06 × 975.82
4. Step 4: Simplify right side
   1,683.86x = 2,267,864.23
5. Step 5: Solve for x
   x = 2,267,864.23/1,683.86
6. Step 6: Final answer
   x = 1,346.82