Finding the Fourth Proportional to 10,461.49, 14,436.80 and 5,681.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.49 : 14,436.80 = 5,681.40 : x
2. Step 2: Convert to fraction form
   10,461.49/14,436.80 = 5,681.40/x
3. Step 3: Cross multiply
   10,461.49x = 14,436.80 × 5,681.40
4. Step 4: Simplify right side
   10,461.49x = 82,021,163.34
5. Step 5: Solve for x
   x = 82,021,163.34/10,461.49
6. Step 6: Final answer
   x = 7,840.30