Finding the Fourth Proportional to 9,658.18, 14,486.49 and 3,814.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.18 : 14,486.49 = 3,814.84 : x
2. Step 2: Convert to fraction form
   9,658.18/14,486.49 = 3,814.84/x
3. Step 3: Cross multiply
   9,658.18x = 14,486.49 × 3,814.84
4. Step 4: Simplify right side
   9,658.18x = 55,263,641.51
5. Step 5: Solve for x
   x = 55,263,641.51/9,658.18
6. Step 6: Final answer
   x = 5,721.95