Finding the Fourth Proportional to 9,886.38, 13,648.14 and 5,693.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.38 : 13,648.14 = 5,693.82 : x
2. Step 2: Convert to fraction form
   9,886.38/13,648.14 = 5,693.82/x
3. Step 3: Cross multiply
   9,886.38x = 13,648.14 × 5,693.82
4. Step 4: Simplify right side
   9,886.38x = 77,710,052.49
5. Step 5: Solve for x
   x = 77,710,052.49/9,886.38
6. Step 6: Final answer
   x = 7,860.31