Finding the Fourth Proportional to 10,461.09, 14,436.30 and 5,681.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.09 : 14,436.30 = 5,681.02 : x
2. Step 2: Convert to fraction form
   10,461.09/14,436.30 = 5,681.02/x
3. Step 3: Cross multiply
   10,461.09x = 14,436.30 × 5,681.02
4. Step 4: Simplify right side
   10,461.09x = 82,012,909.03
5. Step 5: Solve for x
   x = 82,012,909.03/10,461.09
6. Step 6: Final answer
   x = 7,839.81