Finding the Fourth Proportional to 5,546.88, 7,656.93 and 3,780.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,546.88 : 7,656.93 = 3,780.27 : x
2. Step 2: Convert to fraction form
   5,546.88/7,656.93 = 3,780.27/x
3. Step 3: Cross multiply
   5,546.88x = 7,656.93 × 3,780.27
4. Step 4: Simplify right side
   5,546.88x = 28,945,262.77
5. Step 5: Solve for x
   x = 28,945,262.77/5,546.88
6. Step 6: Final answer
   x = 5,218.30