Finding the Fourth Proportional to 5,672.72, 7,826.42 and 3,546.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,672.72 : 7,826.42 = 3,546.80 : x
2. Step 2: Convert to fraction form
   5,672.72/7,826.42 = 3,546.80/x
3. Step 3: Cross multiply
   5,672.72x = 7,826.42 × 3,546.80
4. Step 4: Simplify right side
   5,672.72x = 27,758,746.46
5. Step 5: Solve for x
   x = 27,758,746.46/5,672.72
6. Step 6: Final answer
   x = 4,893.38