Finding the Fourth Proportional to 10,461.87, 14,437.42 and 5,681.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.87 : 14,437.42 = 5,681.82 : x
2. Step 2: Convert to fraction form
   10,461.87/14,437.42 = 5,681.82/x
3. Step 3: Cross multiply
   10,461.87x = 14,437.42 × 5,681.82
4. Step 4: Simplify right side
   10,461.87x = 82,030,821.70
5. Step 5: Solve for x
   x = 82,030,821.70/10,461.87
6. Step 6: Final answer
   x = 7,840.93