Finding the Fourth Proportional to 5,106.63, 7,644.03 and 3,933.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106.63 : 7,644.03 = 3,933.60 : x
2. Step 2: Convert to fraction form
   5,106.63/7,644.03 = 3,933.60/x
3. Step 3: Cross multiply
   5,106.63x = 7,644.03 × 3,933.60
4. Step 4: Simplify right side
   5,106.63x = 30,068,556.41
5. Step 5: Solve for x
   x = 30,068,556.41/5,106.63
6. Step 6: Final answer
   x = 5,888.14