Finding the Fourth Proportional to 11,588.37, 17,378.45 and 4,568.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588.37 : 17,378.45 = 4,568.10 : x
2. Step 2: Convert to fraction form
   11,588.37/17,378.45 = 4,568.10/x
3. Step 3: Cross multiply
   11,588.37x = 17,378.45 × 4,568.10
4. Step 4: Simplify right side
   11,588.37x = 79,386,426.57
5. Step 5: Solve for x
   x = 79,386,426.57/11,588.37
6. Step 6: Final answer
   x = 6,850.53