Finding the Fourth Proportional to 9,759.94, 13,467.86 and 5,780.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759.94 : 13,467.86 = 5,780.41 : x
2. Step 2: Convert to fraction form
   9,759.94/13,467.86 = 5,780.41/x
3. Step 3: Cross multiply
   9,759.94x = 13,467.86 × 5,780.41
4. Step 4: Simplify right side
   9,759.94x = 77,849,752.62
5. Step 5: Solve for x
   x = 77,849,752.62/9,759.94
6. Step 6: Final answer
   x = 7,976.46