Finding the Fourth Proportional to 9,873.57, 13,625.52 and 5,681.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,873.57 : 13,625.52 = 5,681.82 : x
2. Step 2: Convert to fraction form
   9,873.57/13,625.52 = 5,681.82/x
3. Step 3: Cross multiply
   9,873.57x = 13,625.52 × 5,681.82
4. Step 4: Simplify right side
   9,873.57x = 77,417,752.05
5. Step 5: Solve for x
   x = 77,417,752.05/9,873.57
6. Step 6: Final answer
   x = 7,840.91