Finding the Fourth Proportional to 4,141.77, 5,726.88 and 4,075.02

Step by Step Solution

1. Step 1: Write the proportion equation
   4,141.77 : 5,726.88 = 4,075.02 : x
2. Step 2: Convert to fraction form
   4,141.77/5,726.88 = 4,075.02/x
3. Step 3: Cross multiply
   4,141.77x = 5,726.88 × 4,075.02
4. Step 4: Simplify right side
   4,141.77x = 23,337,150.54
5. Step 5: Solve for x
   x = 23,337,150.54/4,141.77
6. Step 6: Final answer
   x = 5,634.58