Finding the Fourth Proportional to 5,942.77, 8,211.86 and 5,654.54

Step by Step Solution

1. Step 1: Write the proportion equation
   5,942.77 : 8,211.86 = 5,654.54 : x
2. Step 2: Convert to fraction form
   5,942.77/8,211.86 = 5,654.54/x
3. Step 3: Cross multiply
   5,942.77x = 8,211.86 × 5,654.54
4. Step 4: Simplify right side
   5,942.77x = 46,434,325.51
5. Step 5: Solve for x
   x = 46,434,325.51/5,942.77
6. Step 6: Final answer
   x = 7,813.59