Finding the Fourth Proportional to 10,631.97, 14,671.88 and 5,786.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,631.97 : 14,671.88 = 5,786.55 : x
2. Step 2: Convert to fraction form
   10,631.97/14,671.88 = 5,786.55/x
3. Step 3: Cross multiply
   10,631.97x = 14,671.88 × 5,786.55
4. Step 4: Simplify right side
   10,631.97x = 84,899,538.28
5. Step 5: Solve for x
   x = 84,899,538.28/10,631.97
6. Step 6: Final answer
   x = 7,985.31