Finding the Fourth Proportional to 11,877.57, 17,821.53 and 5,641.98

Step by Step Solution

1. Step 1: Write the proportion equation
   11,877.57 : 17,821.53 = 5,641.98 : x
2. Step 2: Convert to fraction form
   11,877.57/17,821.53 = 5,641.98/x
3. Step 3: Cross multiply
   11,877.57x = 17,821.53 × 5,641.98
4. Step 4: Simplify right side
   11,877.57x = 100,548,782.66
5. Step 5: Solve for x
   x = 100,548,782.66/11,877.57
6. Step 6: Final answer
   x = 8,465.44