Finding the Fourth Proportional to 14,667.83, 21,993.80 and 5,175.39

Step by Step Solution

1. Step 1: Write the proportion equation
   14,667.83 : 21,993.80 = 5,175.39 : x
2. Step 2: Convert to fraction form
   14,667.83/21,993.80 = 5,175.39/x
3. Step 3: Cross multiply
   14,667.83x = 21,993.80 × 5,175.39
4. Step 4: Simplify right side
   14,667.83x = 113,826,549.18
5. Step 5: Solve for x
   x = 113,826,549.18/14,667.83
6. Step 6: Final answer
   x = 7,760.29