Finding the Fourth Proportional to 10,614.63, 14,648.61 and 5,898.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.63 : 14,648.61 = 5,898.81 : x
2. Step 2: Convert to fraction form
   10,614.63/14,648.61 = 5,898.81/x
3. Step 3: Cross multiply
   10,614.63x = 14,648.61 × 5,898.81
4. Step 4: Simplify right side
   10,614.63x = 86,409,367.15
5. Step 5: Solve for x
   x = 86,409,367.15/10,614.63
6. Step 6: Final answer
   x = 8,140.59