Finding the Fourth Proportional to 5,456.58, 7,538.31 and 4,406.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,456.58 : 7,538.31 = 4,406.82 : x
2. Step 2: Convert to fraction form
   5,456.58/7,538.31 = 4,406.82/x
3. Step 3: Cross multiply
   5,456.58x = 7,538.31 × 4,406.82
4. Step 4: Simplify right side
   5,456.58x = 33,219,975.27
5. Step 5: Solve for x
   x = 33,219,975.27/5,456.58
6. Step 6: Final answer
   x = 6,088.06