Finding the Fourth Proportional to 4,667.10, 6,538.80 and 4,667.10

Step by Step Solution

1. Step 1: Write the proportion equation
   4,667.10 : 6,538.80 = 4,667.10 : x
2. Step 2: Convert to fraction form
   4,667.10/6,538.80 = 4,667.10/x
3. Step 3: Cross multiply
   4,667.10x = 6,538.80 × 4,667.10
4. Step 4: Simplify right side
   4,667.10x = 30,517,233.48
5. Step 5: Solve for x
   x = 30,517,233.48/4,667.10
6. Step 6: Final answer
   x = 6,538.80