Finding the Fourth Proportional to 10,606.86, 14,637.58 and 5,891.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.86 : 14,637.58 = 5,891.13 : x
2. Step 2: Convert to fraction form
   10,606.86/14,637.58 = 5,891.13/x
3. Step 3: Cross multiply
   10,606.86x = 14,637.58 × 5,891.13
4. Step 4: Simplify right side
   10,606.86x = 86,231,871.94
5. Step 5: Solve for x
   x = 86,231,871.94/10,606.86
6. Step 6: Final answer
   x = 8,129.82