Finding the Fourth Proportional to 5,713.40, 7,875.06 and 3,824.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,713.40 : 7,875.06 = 3,824.32 : x
2. Step 2: Convert to fraction form
   5,713.40/7,875.06 = 3,824.32/x
3. Step 3: Cross multiply
   5,713.40x = 7,875.06 × 3,824.32
4. Step 4: Simplify right side
   5,713.40x = 30,116,749.46
5. Step 5: Solve for x
   x = 30,116,749.46/5,713.40
6. Step 6: Final answer
   x = 5,271.25