Finding the Fourth Proportional to 10,606.82, 14,637.00 and 5,891.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.82 : 14,637.00 = 5,891.40 : x
2. Step 2: Convert to fraction form
   10,606.82/14,637.00 = 5,891.40/x
3. Step 3: Cross multiply
   10,606.82x = 14,637.00 × 5,891.40
4. Step 4: Simplify right side
   10,606.82x = 86,232,443.89
5. Step 5: Solve for x
   x = 86,232,443.89/10,606.82
6. Step 6: Final answer
   x = 8,129.91