Finding the Fourth Proportional to 10,469.42, 15,706.44 and 5,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469.42 : 15,706.44 = 5,796.25 : x
2. Step 2: Convert to fraction form
   10,469.42/15,706.44 = 5,796.25/x
3. Step 3: Cross multiply
   10,469.42x = 15,706.44 × 5,796.25
4. Step 4: Simplify right side
   10,469.42x = 91,038,452.85
5. Step 5: Solve for x
   x = 91,038,452.85/10,469.42
6. Step 6: Final answer
   x = 8,695.65