Finding the Fourth Proportional to 9,976.50, 13,767.57 and 5,788.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.50 : 13,767.57 = 5,788.26 : x
2. Step 2: Convert to fraction form
   9,976.50/13,767.57 = 5,788.26/x
3. Step 3: Cross multiply
   9,976.50x = 13,767.57 × 5,788.26
4. Step 4: Simplify right side
   9,976.50x = 79,690,274.73
5. Step 5: Solve for x
   x = 79,690,274.73/9,976.50
6. Step 6: Final answer
   x = 7,987.80