Finding the Fourth Proportional to 9,835.50, 13,573 and 5,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,835.50 : 13,573 = 5,419.50 : x
2. Step 2: Convert to fraction form
   9,835.50/13,573 = 5,419.50/x
3. Step 3: Cross multiply
   9,835.50x = 13,573 × 5,419.50
4. Step 4: Simplify right side
   9,835.50x = 73,558,873.50
5. Step 5: Solve for x
   x = 73,558,873.50/9,835.50
6. Step 6: Final answer
   x = 7,478.92