Finding the Fourth Proportional to 10,485.64, 14,469.80 and 5,769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,485.64 : 14,469.80 = 5,769.82 : x
2. Step 2: Convert to fraction form
   10,485.64/14,469.80 = 5,769.82/x
3. Step 3: Cross multiply
   10,485.64x = 14,469.80 × 5,769.82
4. Step 4: Simplify right side
   10,485.64x = 83,488,141.44
5. Step 5: Solve for x
   x = 83,488,141.44/10,485.64
6. Step 6: Final answer
   x = 7,962.14