Finding the Fourth Proportional to 9,807.82, 13,533.24 and 5,828.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,807.82 : 13,533.24 = 5,828.82 : x
2. Step 2: Convert to fraction form
   9,807.82/13,533.24 = 5,828.82/x
3. Step 3: Cross multiply
   9,807.82x = 13,533.24 × 5,828.82
4. Step 4: Simplify right side
   9,807.82x = 78,882,819.98
5. Step 5: Solve for x
   x = 78,882,819.98/9,807.82
6. Step 6: Final answer
   x = 8,042.85