Finding the Fourth Proportional to 9,361.68, 12,916.86 and 5,586.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,361.68 : 12,916.86 = 5,586.21 : x
2. Step 2: Convert to fraction form
   9,361.68/12,916.86 = 5,586.21/x
3. Step 3: Cross multiply
   9,361.68x = 12,916.86 × 5,586.21
4. Step 4: Simplify right side
   9,361.68x = 72,156,292.50
5. Step 5: Solve for x
   x = 72,156,292.50/9,361.68
6. Step 6: Final answer
   x = 7,707.62