Finding the Fourth Proportional to 9,536.81, 14,307.71 and 3,613.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536.81 : 14,307.71 = 3,613.82 : x
2. Step 2: Convert to fraction form
   9,536.81/14,307.71 = 3,613.82/x
3. Step 3: Cross multiply
   9,536.81x = 14,307.71 × 3,613.82
4. Step 4: Simplify right side
   9,536.81x = 51,705,398.94
5. Step 5: Solve for x
   x = 51,705,398.94/9,536.81
6. Step 6: Final answer
   x = 5,421.67