Finding the Fourth Proportional to 9,405.27, 12,978.81 and 5,630.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,405.27 : 12,978.81 = 5,630.52 : x
2. Step 2: Convert to fraction form
   9,405.27/12,978.81 = 5,630.52/x
3. Step 3: Cross multiply
   9,405.27x = 12,978.81 × 5,630.52
4. Step 4: Simplify right side
   9,405.27x = 73,077,449.28
5. Step 5: Solve for x
   x = 73,077,449.28/9,405.27
6. Step 6: Final answer
   x = 7,769.84