Finding the Fourth Proportional to 7,829.33, 11,730.78 and 3,875.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,829.33 : 11,730.78 = 3,875.31 : x
2. Step 2: Convert to fraction form
   7,829.33/11,730.78 = 3,875.31/x
3. Step 3: Cross multiply
   7,829.33x = 11,730.78 × 3,875.31
4. Step 4: Simplify right side
   7,829.33x = 45,460,409.04
5. Step 5: Solve for x
   x = 45,460,409.04/7,829.33
6. Step 6: Final answer
   x = 5,806.43