Finding the Fourth Proportional to 3,913.31, 5,835.05 and 3,478.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,913.31 : 5,835.05 = 3,478.64 : x
2. Step 2: Convert to fraction form
   3,913.31/5,835.05 = 3,478.64/x
3. Step 3: Cross multiply
   3,913.31x = 5,835.05 × 3,478.64
4. Step 4: Simplify right side
   3,913.31x = 20,298,038.33
5. Step 5: Solve for x
   x = 20,298,038.33/3,913.31
6. Step 6: Final answer
   x = 5,186.92