Finding the Fourth Proportional to 9,782.96, 13,500.49 and 5,533.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.96 : 13,500.49 = 5,533.93 : x
2. Step 2: Convert to fraction form
   9,782.96/13,500.49 = 5,533.93/x
3. Step 3: Cross multiply
   9,782.96x = 13,500.49 × 5,533.93
4. Step 4: Simplify right side
   9,782.96x = 74,710,743.88
5. Step 5: Solve for x
   x = 74,710,743.88/9,782.96
6. Step 6: Final answer
   x = 7,636.83