Finding the Fourth Proportional to 9,406.31, 12,978.15 and 5,626.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.31 : 12,978.15 = 5,626.15 : x
2. Step 2: Convert to fraction form
   9,406.31/12,978.15 = 5,626.15/x
3. Step 3: Cross multiply
   9,406.31x = 12,978.15 × 5,626.15
4. Step 4: Simplify right side
   9,406.31x = 73,016,953.73
5. Step 5: Solve for x
   x = 73,016,953.73/9,406.31
6. Step 6: Final answer
   x = 7,762.55