Finding the Fourth Proportional to 9,865.40, 13,613.67 and 5,886.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865.40 : 13,613.67 = 5,886.47 : x
2. Step 2: Convert to fraction form
   9,865.40/13,613.67 = 5,886.47/x
3. Step 3: Cross multiply
   9,865.40x = 13,613.67 × 5,886.47
4. Step 4: Simplify right side
   9,865.40x = 80,136,494.08
5. Step 5: Solve for x
   x = 80,136,494.08/9,865.40
6. Step 6: Final answer
   x = 8,122.99