Finding the Fourth Proportional to 9,690.84, 14,538.69 and 3,116.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,690.84 : 14,538.69 = 3,116.88 : x
2. Step 2: Convert to fraction form
   9,690.84/14,538.69 = 3,116.88/x
3. Step 3: Cross multiply
   9,690.84x = 14,538.69 × 3,116.88
4. Step 4: Simplify right side
   9,690.84x = 45,315,352.09
5. Step 5: Solve for x
   x = 45,315,352.09/9,690.84
6. Step 6: Final answer
   x = 4,676.10