Finding the Fourth Proportional to 9,976.77, 13,767.71 and 5,784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.77 : 13,767.71 = 5,784.75 : x
2. Step 2: Convert to fraction form
   9,976.77/13,767.71 = 5,784.75/x
3. Step 3: Cross multiply
   9,976.77x = 13,767.71 × 5,784.75
4. Step 4: Simplify right side
   9,976.77x = 79,642,731.50
5. Step 5: Solve for x
   x = 79,642,731.50/9,976.77
6. Step 6: Final answer
   x = 7,982.82