Finding the Fourth Proportional to 10,601.38, 14,630.16 and 5,885.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,601.38 : 14,630.16 = 5,885.92 : x
2. Step 2: Convert to fraction form
   10,601.38/14,630.16 = 5,885.92/x
3. Step 3: Cross multiply
   10,601.38x = 14,630.16 × 5,885.92
4. Step 4: Simplify right side
   10,601.38x = 86,111,951.35
5. Step 5: Solve for x
   x = 86,111,951.35/10,601.38
6. Step 6: Final answer
   x = 8,122.71