Finding the Fourth Proportional to 9,878.47, 13,633.47 and 5,687.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.47 : 13,633.47 = 5,687.53 : x
2. Step 2: Convert to fraction form
   9,878.47/13,633.47 = 5,687.53/x
3. Step 3: Cross multiply
   9,878.47x = 13,633.47 × 5,687.53
4. Step 4: Simplify right side
   9,878.47x = 77,540,769.63
5. Step 5: Solve for x
   x = 77,540,769.63/9,878.47
6. Step 6: Final answer
   x = 7,849.47