Finding the Fourth Proportional to 9,782.18, 13,499.98 and 5,533.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.18 : 13,499.98 = 5,533.62 : x
2. Step 2: Convert to fraction form
   9,782.18/13,499.98 = 5,533.62/x
3. Step 3: Cross multiply
   9,782.18x = 13,499.98 × 5,533.62
4. Step 4: Simplify right side
   9,782.18x = 74,703,694.87
5. Step 5: Solve for x
   x = 74,703,694.87/9,782.18
6. Step 6: Final answer
   x = 7,636.71