Finding the Fourth Proportional to 11,564.64, 17,351.90 and 3,667.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564.64 : 17,351.90 = 3,667.80 : x
2. Step 2: Convert to fraction form
   11,564.64/17,351.90 = 3,667.80/x
3. Step 3: Cross multiply
   11,564.64x = 17,351.90 × 3,667.80
4. Step 4: Simplify right side
   11,564.64x = 63,643,298.82
5. Step 5: Solve for x
   x = 63,643,298.82/11,564.64
6. Step 6: Final answer
   x = 5,503.27