Finding the Fourth Proportional to 9,406.19, 12,980.52 and 5,629.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.19 : 12,980.52 = 5,629.52 : x
2. Step 2: Convert to fraction form
   9,406.19/12,980.52 = 5,629.52/x
3. Step 3: Cross multiply
   9,406.19x = 12,980.52 × 5,629.52
4. Step 4: Simplify right side
   9,406.19x = 73,074,032.05
5. Step 5: Solve for x
   x = 73,074,032.05/9,406.19
6. Step 6: Final answer
   x = 7,768.72