Finding the Fourth Proportional to 10,362.06, 14,300.01 and 5,886

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.06 : 14,300.01 = 5,886 : x
2. Step 2: Convert to fraction form
   10,362.06/14,300.01 = 5,886/x
3. Step 3: Cross multiply
   10,362.06x = 14,300.01 × 5,886
4. Step 4: Simplify right side
   10,362.06x = 84,169,858.86
5. Step 5: Solve for x
   x = 84,169,858.86/10,362.06
6. Step 6: Final answer
   x = 8,122.89