Finding the Fourth Proportional to 11,669.57, 17,498.67 and 3,875.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,669.57 : 17,498.67 = 3,875.75 : x
2. Step 2: Convert to fraction form
   11,669.57/17,498.67 = 3,875.75/x
3. Step 3: Cross multiply
   11,669.57x = 17,498.67 × 3,875.75
4. Step 4: Simplify right side
   11,669.57x = 67,820,470.25
5. Step 5: Solve for x
   x = 67,820,470.25/11,669.57
6. Step 6: Final answer
   x = 5,811.74