Finding the Fourth Proportional to 9,378.60, 12,946.86 and 5,398.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378.60 : 12,946.86 = 5,398.92 : x
2. Step 2: Convert to fraction form
   9,378.60/12,946.86 = 5,398.92/x
3. Step 3: Cross multiply
   9,378.60x = 12,946.86 × 5,398.92
4. Step 4: Simplify right side
   9,378.60x = 69,899,061.39
5. Step 5: Solve for x
   x = 69,899,061.39/9,378.60
6. Step 6: Final answer
   x = 7,453.04