Finding the Fourth Proportional to 9,781.20, 13,498.32 and 5,805.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.20 : 13,498.32 = 5,805.60 : x
2. Step 2: Convert to fraction form
   9,781.20/13,498.32 = 5,805.60/x
3. Step 3: Cross multiply
   9,781.20x = 13,498.32 × 5,805.60
4. Step 4: Simplify right side
   9,781.20x = 78,365,846.59
5. Step 5: Solve for x
   x = 78,365,846.59/9,781.20
6. Step 6: Final answer
   x = 8,011.88