Finding the Fourth Proportional to 9,970.60, 13,757.82 and 5,778.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.60 : 13,757.82 = 5,778.04 : x
2. Step 2: Convert to fraction form
   9,970.60/13,757.82 = 5,778.04/x
3. Step 3: Cross multiply
   9,970.60x = 13,757.82 × 5,778.04
4. Step 4: Simplify right side
   9,970.60x = 79,493,234.27
5. Step 5: Solve for x
   x = 79,493,234.27/9,970.60
6. Step 6: Final answer
   x = 7,972.76