Finding the Fourth Proportional to 5,155.40, 7,116.17 and 3,667.64

Step by Step Solution

1. Step 1: Write the proportion equation
   5,155.40 : 7,116.17 = 3,667.64 : x
2. Step 2: Convert to fraction form
   5,155.40/7,116.17 = 3,667.64/x
3. Step 3: Cross multiply
   5,155.40x = 7,116.17 × 3,667.64
4. Step 4: Simplify right side
   5,155.40x = 26,099,495.82
5. Step 5: Solve for x
   x = 26,099,495.82/5,155.40
6. Step 6: Final answer
   x = 5,062.55