Finding the Fourth Proportional to 9,778.58, 13,491.98 and 5,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.58 : 13,491.98 = 5,799.50 : x
2. Step 2: Convert to fraction form
   9,778.58/13,491.98 = 5,799.50/x
3. Step 3: Cross multiply
   9,778.58x = 13,491.98 × 5,799.50
4. Step 4: Simplify right side
   9,778.58x = 78,246,738.01
5. Step 5: Solve for x
   x = 78,246,738.01/9,778.58
6. Step 6: Final answer
   x = 8,001.85