Finding the Fourth Proportional to 9,570.78, 13,206.55 and 5,378.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570.78 : 13,206.55 = 5,378.78 : x
2. Step 2: Convert to fraction form
   9,570.78/13,206.55 = 5,378.78/x
3. Step 3: Cross multiply
   9,570.78x = 13,206.55 × 5,378.78
4. Step 4: Simplify right side
   9,570.78x = 71,035,127.01
5. Step 5: Solve for x
   x = 71,035,127.01/9,570.78
6. Step 6: Final answer
   x = 7,422.08