Finding the Fourth Proportional to 9,384.60, 12,947.91 and 5,405.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.60 : 12,947.91 = 5,405.61 : x
2. Step 2: Convert to fraction form
   9,384.60/12,947.91 = 5,405.61/x
3. Step 3: Cross multiply
   9,384.60x = 12,947.91 × 5,405.61
4. Step 4: Simplify right side
   9,384.60x = 69,991,351.78
5. Step 5: Solve for x
   x = 69,991,351.78/9,384.60
6. Step 6: Final answer
   x = 7,458.11