Finding the Fourth Proportional to 10,676.42, 14,733.19 and 5,896.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,676.42 : 14,733.19 = 5,896.72 : x
2. Step 2: Convert to fraction form
   10,676.42/14,733.19 = 5,896.72/x
3. Step 3: Cross multiply
   10,676.42x = 14,733.19 × 5,896.72
4. Step 4: Simplify right side
   10,676.42x = 86,877,444.56
5. Step 5: Solve for x
   x = 86,877,444.56/10,676.42
6. Step 6: Final answer
   x = 8,137.32