Finding the Fourth Proportional to 10,007.74, 13,810.55 and 5,531.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.74 : 13,810.55 = 5,531.57 : x
2. Step 2: Convert to fraction form
   10,007.74/13,810.55 = 5,531.57/x
3. Step 3: Cross multiply
   10,007.74x = 13,810.55 × 5,531.57
4. Step 4: Simplify right side
   10,007.74x = 76,393,996.41
5. Step 5: Solve for x
   x = 76,393,996.41/10,007.74
6. Step 6: Final answer
   x = 7,633.50