Finding the Fourth Proportional to 10,601.82, 14,630.76 and 5,886

Step by Step Solution

1. Step 1: Write the proportion equation
   10,601.82 : 14,630.76 = 5,886 : x
2. Step 2: Convert to fraction form
   10,601.82/14,630.76 = 5,886/x
3. Step 3: Cross multiply
   10,601.82x = 14,630.76 × 5,886
4. Step 4: Simplify right side
   10,601.82x = 86,116,653.36
5. Step 5: Solve for x
   x = 86,116,653.36/10,601.82
6. Step 6: Final answer
   x = 8,122.82