Finding the Fourth Proportional to 5,196.62, 7,823.01 and 4,744.64

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.62 : 7,823.01 = 4,744.64 : x
2. Step 2: Convert to fraction form
   5,196.62/7,823.01 = 4,744.64/x
3. Step 3: Cross multiply
   5,196.62x = 7,823.01 × 4,744.64
4. Step 4: Simplify right side
   5,196.62x = 37,117,327.05
5. Step 5: Solve for x
   x = 37,117,327.05/5,196.62
6. Step 6: Final answer
   x = 7,142.60