Finding the Fourth Proportional to 9,513.82, 14,270.76 and 2,588.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,513.82 : 14,270.76 = 2,588.32 : x
2. Step 2: Convert to fraction form
   9,513.82/14,270.76 = 2,588.32/x
3. Step 3: Cross multiply
   9,513.82x = 14,270.76 × 2,588.32
4. Step 4: Simplify right side
   9,513.82x = 36,937,293.52
5. Step 5: Solve for x
   x = 36,937,293.52/9,513.82
6. Step 6: Final answer
   x = 3,882.49