Finding the Fourth Proportional to 9,378.63, 12,942.45 and 5,601.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378.63 : 12,942.45 = 5,601.60 : x
2. Step 2: Convert to fraction form
   9,378.63/12,942.45 = 5,601.60/x
3. Step 3: Cross multiply
   9,378.63x = 12,942.45 × 5,601.60
4. Step 4: Simplify right side
   9,378.63x = 72,498,427.92
5. Step 5: Solve for x
   x = 72,498,427.92/9,378.63
6. Step 6: Final answer
   x = 7,730.17