Finding the Fourth Proportional to 7,713.50, 10,642.38 and 5,198.45

Step by Step Solution

1. Step 1: Write the proportion equation
   7,713.50 : 10,642.38 = 5,198.45 : x
2. Step 2: Convert to fraction form
   7,713.50/10,642.38 = 5,198.45/x
3. Step 3: Cross multiply
   7,713.50x = 10,642.38 × 5,198.45
4. Step 4: Simplify right side
   7,713.50x = 55,323,827.10
5. Step 5: Solve for x
   x = 55,323,827.10/7,713.50
6. Step 6: Final answer
   x = 7,172.34