Finding the Fourth Proportional to 10,586.30, 14,610.93 and 6,109.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.30 : 14,610.93 = 6,109.30 : x
2. Step 2: Convert to fraction form
   10,586.30/14,610.93 = 6,109.30/x
3. Step 3: Cross multiply
   10,586.30x = 14,610.93 × 6,109.30
4. Step 4: Simplify right side
   10,586.30x = 89,262,481.59
5. Step 5: Solve for x
   x = 89,262,481.59/10,586.30
6. Step 6: Final answer
   x = 8,431.89