Finding the Fourth Proportional to 9,983.90, 14,965.86 and 5,038.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.90 : 14,965.86 = 5,038.58 : x
2. Step 2: Convert to fraction form
   9,983.90/14,965.86 = 5,038.58/x
3. Step 3: Cross multiply
   9,983.90x = 14,965.86 × 5,038.58
4. Step 4: Simplify right side
   9,983.90x = 75,406,682.88
5. Step 5: Solve for x
   x = 75,406,682.88/9,983.90
6. Step 6: Final answer
   x = 7,552.83