Finding the Fourth Proportional to 9,780.40, 14,645.55 and 5,392.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.40 : 14,645.55 = 5,392.99 : x
2. Step 2: Convert to fraction form
   9,780.40/14,645.55 = 5,392.99/x
3. Step 3: Cross multiply
   9,780.40x = 14,645.55 × 5,392.99
4. Step 4: Simplify right side
   9,780.40x = 78,983,231.47
5. Step 5: Solve for x
   x = 78,983,231.47/9,780.40
6. Step 6: Final answer
   x = 8,075.67