Finding the Fourth Proportional to 9,782.38, 13,499.59 and 5,534.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.38 : 13,499.59 = 5,534.27 : x
2. Step 2: Convert to fraction form
   9,782.38/13,499.59 = 5,534.27/x
3. Step 3: Cross multiply
   9,782.38x = 13,499.59 × 5,534.27
4. Step 4: Simplify right side
   9,782.38x = 74,710,375.95
5. Step 5: Solve for x
   x = 74,710,375.95/9,782.38
6. Step 6: Final answer
   x = 7,637.24