Finding the Fourth Proportional to 7,978.77, 11,956.82 and 5,882.29

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.77 : 11,956.82 = 5,882.29 : x
2. Step 2: Convert to fraction form
   7,978.77/11,956.82 = 5,882.29/x
3. Step 3: Cross multiply
   7,978.77x = 11,956.82 × 5,882.29
4. Step 4: Simplify right side
   7,978.77x = 70,333,423.41
5. Step 5: Solve for x
   x = 70,333,423.41/7,978.77
6. Step 6: Final answer
   x = 8,815.07