Finding the Fourth Proportional to 3,848.40, 5,768.96 and 3,506.00

Step by Step Solution

1. Step 1: Write the proportion equation
   3,848.40 : 5,768.96 = 3,506.00 : x
2. Step 2: Convert to fraction form
   3,848.40/5,768.96 = 3,506.00/x
3. Step 3: Cross multiply
   3,848.40x = 5,768.96 × 3,506.00
4. Step 4: Simplify right side
   3,848.40x = 20,225,927.39
5. Step 5: Solve for x
   x = 20,225,927.39/3,848.40
6. Step 6: Final answer
   x = 5,255.67