Finding the Fourth Proportional to 9,658.06, 14,486.88 and 3,814.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.06 : 14,486.88 = 3,814.72 : x
2. Step 2: Convert to fraction form
   9,658.06/14,486.88 = 3,814.72/x
3. Step 3: Cross multiply
   9,658.06x = 14,486.88 × 3,814.72
4. Step 4: Simplify right side
   9,658.06x = 55,263,390.87
5. Step 5: Solve for x
   x = 55,263,390.87/9,658.06
6. Step 6: Final answer
   x = 5,722.00