Finding the Fourth Proportional to 9,384.50, 12,946.83 and 5,403.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.50 : 12,946.83 = 5,403.47 : x
2. Step 2: Convert to fraction form
   9,384.50/12,946.83 = 5,403.47/x
3. Step 3: Cross multiply
   9,384.50x = 12,946.83 × 5,403.47
4. Step 4: Simplify right side
   9,384.50x = 69,957,742.77
5. Step 5: Solve for x
   x = 69,957,742.77/9,384.50
6. Step 6: Final answer
   x = 7,454.61