Finding the Fourth Proportional to 9,974.72, 13,767.90 and 5,782.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.72 : 13,767.90 = 5,782.16 : x
2. Step 2: Convert to fraction form
   9,974.72/13,767.90 = 5,782.16/x
3. Step 3: Cross multiply
   9,974.72x = 13,767.90 × 5,782.16
4. Step 4: Simplify right side
   9,974.72x = 79,608,200.66
5. Step 5: Solve for x
   x = 79,608,200.66/9,974.72
6. Step 6: Final answer
   x = 7,981.00