Finding the Fourth Proportional to 3,854.69, 5,783.82 and 1,222.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.69 : 5,783.82 = 1,222.61 : x
2. Step 2: Convert to fraction form
   3,854.69/5,783.82 = 1,222.61/x
3. Step 3: Cross multiply
   3,854.69x = 5,783.82 × 1,222.61
4. Step 4: Simplify right side
   3,854.69x = 7,071,327.25
5. Step 5: Solve for x
   x = 7,071,327.25/3,854.69
6. Step 6: Final answer
   x = 1,834.48