Finding the Fourth Proportional to 9,464.76, 13,061.20 and 5,486.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,464.76 : 13,061.20 = 5,486.24 : x
2. Step 2: Convert to fraction form
   9,464.76/13,061.20 = 5,486.24/x
3. Step 3: Cross multiply
   9,464.76x = 13,061.20 × 5,486.24
4. Step 4: Simplify right side
   9,464.76x = 71,656,896.83
5. Step 5: Solve for x
   x = 71,656,896.83/9,464.76
6. Step 6: Final answer
   x = 7,570.92