Finding the Fourth Proportional to 10,677.44, 14,734.59 and 5,897.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677.44 : 14,734.59 = 5,897.49 : x
2. Step 2: Convert to fraction form
   10,677.44/14,734.59 = 5,897.49/x
3. Step 3: Cross multiply
   10,677.44x = 14,734.59 × 5,897.49
4. Step 4: Simplify right side
   10,677.44x = 86,897,019.81
5. Step 5: Solve for x
   x = 86,897,019.81/10,677.44
6. Step 6: Final answer
   x = 8,138.37