Finding the Fourth Proportional to 9,780.89, 14,674.10 and 3,854.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.89 : 14,674.10 = 3,854.12 : x
2. Step 2: Convert to fraction form
   9,780.89/14,674.10 = 3,854.12/x
3. Step 3: Cross multiply
   9,780.89x = 14,674.10 × 3,854.12
4. Step 4: Simplify right side
   9,780.89x = 56,555,649.65
5. Step 5: Solve for x
   x = 56,555,649.65/9,780.89
6. Step 6: Final answer
   x = 5,782.26