Finding the Fourth Proportional to 9,384.25, 12,947.12 and 5,405.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.25 : 12,947.12 = 5,405.27 : x
2. Step 2: Convert to fraction form
   9,384.25/12,947.12 = 5,405.27/x
3. Step 3: Cross multiply
   9,384.25x = 12,947.12 × 5,405.27
4. Step 4: Simplify right side
   9,384.25x = 69,982,679.32
5. Step 5: Solve for x
   x = 69,982,679.32/9,384.25
6. Step 6: Final answer
   x = 7,457.46