Finding the Fourth Proportional to 10,607.36, 14,638.59 and 5,891.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,607.36 : 14,638.59 = 5,891.63 : x
2. Step 2: Convert to fraction form
   10,607.36/14,638.59 = 5,891.63/x
3. Step 3: Cross multiply
   10,607.36x = 14,638.59 × 5,891.63
4. Step 4: Simplify right side
   10,607.36x = 86,245,082.81
5. Step 5: Solve for x
   x = 86,245,082.81/10,607.36
6. Step 6: Final answer
   x = 8,130.69