Finding the Fourth Proportional to 9,384.78, 12,951.18 and 5,405.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.78 : 12,951.18 = 5,405.22 : x
2. Step 2: Convert to fraction form
   9,384.78/12,951.18 = 5,405.22/x
3. Step 3: Cross multiply
   9,384.78x = 12,951.18 × 5,405.22
4. Step 4: Simplify right side
   9,384.78x = 70,003,977.16
5. Step 5: Solve for x
   x = 70,003,977.16/9,384.78
6. Step 6: Final answer
   x = 7,459.31