Finding the Fourth Proportional to 9,766.58, 14,649.96 and 2,371.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.58 : 14,649.96 = 2,371.10 : x
2. Step 2: Convert to fraction form
   9,766.58/14,649.96 = 2,371.10/x
3. Step 3: Cross multiply
   9,766.58x = 14,649.96 × 2,371.10
4. Step 4: Simplify right side
   9,766.58x = 34,736,556.78
5. Step 5: Solve for x
   x = 34,736,556.78/9,766.58
6. Step 6: Final answer
   x = 3,556.68