Finding the Fourth Proportional to 10,586.89, 14,614.60 and 7,412.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.89 : 14,614.60 = 7,412.67 : x
2. Step 2: Convert to fraction form
   10,586.89/14,614.60 = 7,412.67/x
3. Step 3: Cross multiply
   10,586.89x = 14,614.60 × 7,412.67
4. Step 4: Simplify right side
   10,586.89x = 108,333,206.98
5. Step 5: Solve for x
   x = 108,333,206.98/10,586.89
6. Step 6: Final answer
   x = 10,232.77