Finding the Fourth Proportional to 9,314.84, 13,974.34 and 3,076.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.84 : 13,974.34 = 3,076.80 : x
2. Step 2: Convert to fraction form
   9,314.84/13,974.34 = 3,076.80/x
3. Step 3: Cross multiply
   9,314.84x = 13,974.34 × 3,076.80
4. Step 4: Simplify right side
   9,314.84x = 42,996,249.31
5. Step 5: Solve for x
   x = 42,996,249.31/9,314.84
6. Step 6: Final answer
   x = 4,615.89