Finding the Fourth Proportional to 10,605.83, 14,636.70 and 5,890.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605.83 : 14,636.70 = 5,890.10 : x
2. Step 2: Convert to fraction form
   10,605.83/14,636.70 = 5,890.10/x
3. Step 3: Cross multiply
   10,605.83x = 14,636.70 × 5,890.10
4. Step 4: Simplify right side
   10,605.83x = 86,211,553.49
5. Step 5: Solve for x
   x = 86,211,553.49/10,605.83
6. Step 6: Final answer
   x = 8,128.70