Finding the Fourth Proportional to 9,782.15, 14,648.18 and 5,394.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.15 : 14,648.18 = 5,394.74 : x
2. Step 2: Convert to fraction form
   9,782.15/14,648.18 = 5,394.74/x
3. Step 3: Cross multiply
   9,782.15x = 14,648.18 × 5,394.74
4. Step 4: Simplify right side
   9,782.15x = 79,023,022.36
5. Step 5: Solve for x
   x = 79,023,022.36/9,782.15
6. Step 6: Final answer
   x = 8,078.29