Finding the Fourth Proportional to 6,335.78, 9,496.37 and 3,407.93

Step by Step Solution

1. Step 1: Write the proportion equation
   6,335.78 : 9,496.37 = 3,407.93 : x
2. Step 2: Convert to fraction form
   6,335.78/9,496.37 = 3,407.93/x
3. Step 3: Cross multiply
   6,335.78x = 9,496.37 × 3,407.93
4. Step 4: Simplify right side
   6,335.78x = 32,362,947.17
5. Step 5: Solve for x
   x = 32,362,947.17/6,335.78
6. Step 6: Final answer
   x = 5,107.97