Finding the Fourth Proportional to 11,750.05, 17,625.57 and 3,853.02

Step by Step Solution

1. Step 1: Write the proportion equation
   11,750.05 : 17,625.57 = 3,853.02 : x
2. Step 2: Convert to fraction form
   11,750.05/17,625.57 = 3,853.02/x
3. Step 3: Cross multiply
   11,750.05x = 17,625.57 × 3,853.02
4. Step 4: Simplify right side
   11,750.05x = 67,911,673.72
5. Step 5: Solve for x
   x = 67,911,673.72/11,750.05
6. Step 6: Final answer
   x = 5,779.69