Finding the Fourth Proportional to 5,782.56, 7,942.62 and 5,671.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,782.56 : 7,942.62 = 5,671.86 : x
2. Step 2: Convert to fraction form
   5,782.56/7,942.62 = 5,671.86/x
3. Step 3: Cross multiply
   5,782.56x = 7,942.62 × 5,671.86
4. Step 4: Simplify right side
   5,782.56x = 45,049,428.67
5. Step 5: Solve for x
   x = 45,049,428.67/5,782.56
6. Step 6: Final answer
   x = 7,790.57