Finding the Fourth Proportional to 5,538.93, 7,682.89 and 5,339.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.93 : 7,682.89 = 5,339.45 : x
2. Step 2: Convert to fraction form
   5,538.93/7,682.89 = 5,339.45/x
3. Step 3: Cross multiply
   5,538.93x = 7,682.89 × 5,339.45
4. Step 4: Simplify right side
   5,538.93x = 41,022,341.90
5. Step 5: Solve for x
   x = 41,022,341.90/5,538.93
6. Step 6: Final answer
   x = 7,406.19