Finding the Fourth Proportional to 10,007.82, 14,990.97 and 5,835.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.82 : 14,990.97 = 5,835.18 : x
2. Step 2: Convert to fraction form
   10,007.82/14,990.97 = 5,835.18/x
3. Step 3: Cross multiply
   10,007.82x = 14,990.97 × 5,835.18
4. Step 4: Simplify right side
   10,007.82x = 87,474,930.23
5. Step 5: Solve for x
   x = 87,474,930.23/10,007.82
6. Step 6: Final answer
   x = 8,740.65