Finding the Fourth Proportional to 9,682.56, 14,526.72 and 4,492.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.56 : 14,526.72 = 4,492.80 : x
2. Step 2: Convert to fraction form
   9,682.56/14,526.72 = 4,492.80/x
3. Step 3: Cross multiply
   9,682.56x = 14,526.72 × 4,492.80
4. Step 4: Simplify right side
   9,682.56x = 65,265,647.62
5. Step 5: Solve for x
   x = 65,265,647.62/9,682.56
6. Step 6: Final answer
   x = 6,740.54