Finding the Fourth Proportional to 11,866.64, 17,801 and 3,101.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866.64 : 17,801 = 3,101.52 : x
2. Step 2: Convert to fraction form
   11,866.64/17,801 = 3,101.52/x
3. Step 3: Cross multiply
   11,866.64x = 17,801 × 3,101.52
4. Step 4: Simplify right side
   11,866.64x = 55,210,157.52
5. Step 5: Solve for x
   x = 55,210,157.52/11,866.64
6. Step 6: Final answer
   x = 4,652.55