Finding the Fourth Proportional to 10,362.12, 14,299.89 and 5,886

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.12 : 14,299.89 = 5,886 : x
2. Step 2: Convert to fraction form
   10,362.12/14,299.89 = 5,886/x
3. Step 3: Cross multiply
   10,362.12x = 14,299.89 × 5,886
4. Step 4: Simplify right side
   10,362.12x = 84,169,152.54
5. Step 5: Solve for x
   x = 84,169,152.54/10,362.12
6. Step 6: Final answer
   x = 8,122.77