Finding the Fourth Proportional to 5,114.61, 7,667.82 and 4,704.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.61 : 7,667.82 = 4,704.57 : x
2. Step 2: Convert to fraction form
   5,114.61/7,667.82 = 4,704.57/x
3. Step 3: Cross multiply
   5,114.61x = 7,667.82 × 4,704.57
4. Step 4: Simplify right side
   5,114.61x = 36,073,795.94
5. Step 5: Solve for x
   x = 36,073,795.94/5,114.61
6. Step 6: Final answer
   x = 7,053.09