Finding the Fourth Proportional to 5,672.40, 7,828.56 and 5,490.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,672.40 : 7,828.56 = 5,490.96 : x
2. Step 2: Convert to fraction form
   5,672.40/7,828.56 = 5,490.96/x
3. Step 3: Cross multiply
   5,672.40x = 7,828.56 × 5,490.96
4. Step 4: Simplify right side
   5,672.40x = 42,986,309.82
5. Step 5: Solve for x
   x = 42,986,309.82/5,672.40
6. Step 6: Final answer
   x = 7,578.15