Finding the Fourth Proportional to 11,643.60, 17,460.02 and 3,744.65

Step by Step Solution

1. Step 1: Write the proportion equation
   11,643.60 : 17,460.02 = 3,744.65 : x
2. Step 2: Convert to fraction form
   11,643.60/17,460.02 = 3,744.65/x
3. Step 3: Cross multiply
   11,643.60x = 17,460.02 × 3,744.65
4. Step 4: Simplify right side
   11,643.60x = 65,381,618.69
5. Step 5: Solve for x
   x = 65,381,618.69/11,643.60
6. Step 6: Final answer
   x = 5,615.24