Finding the Fourth Proportional to 9,760.56, 13,469.04 and 5,782.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.56 : 13,469.04 = 5,782.04 : x
2. Step 2: Convert to fraction form
   9,760.56/13,469.04 = 5,782.04/x
3. Step 3: Cross multiply
   9,760.56x = 13,469.04 × 5,782.04
4. Step 4: Simplify right side
   9,760.56x = 77,878,528.04
5. Step 5: Solve for x
   x = 77,878,528.04/9,760.56
6. Step 6: Final answer
   x = 7,978.90