Finding the Fourth Proportional to 10,007.82, 13,810.50 and 5,531.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.82 : 13,810.50 = 5,531.49 : x
2. Step 2: Convert to fraction form
   10,007.82/13,810.50 = 5,531.49/x
3. Step 3: Cross multiply
   10,007.82x = 13,810.50 × 5,531.49
4. Step 4: Simplify right side
   10,007.82x = 76,392,642.65
5. Step 5: Solve for x
   x = 76,392,642.65/10,007.82
6. Step 6: Final answer
   x = 7,633.30