Finding the Fourth Proportional to 9,983.84, 14,971.42 and 5,302.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.84 : 14,971.42 = 5,302.82 : x
2. Step 2: Convert to fraction form
   9,983.84/14,971.42 = 5,302.82/x
3. Step 3: Cross multiply
   9,983.84x = 14,971.42 × 5,302.82
4. Step 4: Simplify right side
   9,983.84x = 79,390,745.40
5. Step 5: Solve for x
   x = 79,390,745.40/9,983.84
6. Step 6: Final answer
   x = 7,951.92