Finding the Fourth Proportional to 11,609.60, 16,025.83 and 7,835

Step by Step Solution

1. Step 1: Write the proportion equation
   11,609.60 : 16,025.83 = 7,835 : x
2. Step 2: Convert to fraction form
   11,609.60/16,025.83 = 7,835/x
3. Step 3: Cross multiply
   11,609.60x = 16,025.83 × 7,835
4. Step 4: Simplify right side
   11,609.60x = 125,562,378.05
5. Step 5: Solve for x
   x = 125,562,378.05/11,609.60
6. Step 6: Final answer
   x = 10,815.39