Finding the Fourth Proportional to 10,678.29, 14,735.82 and 5,897.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.29 : 14,735.82 = 5,897.96 : x
2. Step 2: Convert to fraction form
   10,678.29/14,735.82 = 5,897.96/x
3. Step 3: Cross multiply
   10,678.29x = 14,735.82 × 5,897.96
4. Step 4: Simplify right side
   10,678.29x = 86,911,276.93
5. Step 5: Solve for x
   x = 86,911,276.93/10,678.29
6. Step 6: Final answer
   x = 8,139.06