Finding the Fourth Proportional to 10,405.80, 15,594.72 and 3,825.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.80 : 15,594.72 = 3,825.84 : x
2. Step 2: Convert to fraction form
   10,405.80/15,594.72 = 3,825.84/x
3. Step 3: Cross multiply
   10,405.80x = 15,594.72 × 3,825.84
4. Step 4: Simplify right side
   10,405.80x = 59,662,903.56
5. Step 5: Solve for x
   x = 59,662,903.56/10,405.80
6. Step 6: Final answer
   x = 5,733.62