Finding the Fourth Proportional to 9,965.88, 14,943.78 and 5,582.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.88 : 14,943.78 = 5,582.16 : x
2. Step 2: Convert to fraction form
   9,965.88/14,943.78 = 5,582.16/x
3. Step 3: Cross multiply
   9,965.88x = 14,943.78 × 5,582.16
4. Step 4: Simplify right side
   9,965.88x = 83,418,570.96
5. Step 5: Solve for x
   x = 83,418,570.96/9,965.88
6. Step 6: Final answer
   x = 8,370.42