Finding the Fourth Proportional to 5,300.64, 7,951.34 and 1,405

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300.64 : 7,951.34 = 1,405 : x
2. Step 2: Convert to fraction form
   5,300.64/7,951.34 = 1,405/x
3. Step 3: Cross multiply
   5,300.64x = 7,951.34 × 1,405
4. Step 4: Simplify right side
   5,300.64x = 11,171,632.70
5. Step 5: Solve for x
   x = 11,171,632.70/5,300.64
6. Step 6: Final answer
   x = 2,107.60