Finding the Fourth Proportional to 9,410.07, 12,986.46 and 5,378.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.07 : 12,986.46 = 5,378.16 : x
2. Step 2: Convert to fraction form
   9,410.07/12,986.46 = 5,378.16/x
3. Step 3: Cross multiply
   9,410.07x = 12,986.46 × 5,378.16
4. Step 4: Simplify right side
   9,410.07x = 69,843,259.71
5. Step 5: Solve for x
   x = 69,843,259.71/9,410.07
6. Step 6: Final answer
   x = 7,422.18