Finding the Fourth Proportional to 10,689, 16,033.54 and 2,897.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689 : 16,033.54 = 2,897.82 : x
2. Step 2: Convert to fraction form
   10,689/16,033.54 = 2,897.82/x
3. Step 3: Cross multiply
   10,689x = 16,033.54 × 2,897.82
4. Step 4: Simplify right side
   10,689x = 46,462,312.88
5. Step 5: Solve for x
   x = 46,462,312.88/10,689
6. Step 6: Final answer
   x = 4,346.74