Finding the Fourth Proportional to 9,856.14, 13,601.46 and 7,340.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.14 : 13,601.46 = 7,340.40 : x
2. Step 2: Convert to fraction form
   9,856.14/13,601.46 = 7,340.40/x
3. Step 3: Cross multiply
   9,856.14x = 13,601.46 × 7,340.40
4. Step 4: Simplify right side
   9,856.14x = 99,840,156.98
5. Step 5: Solve for x
   x = 99,840,156.98/9,856.14
6. Step 6: Final answer
   x = 10,129.74