Finding the Fourth Proportional to 10,397, 14,348.18 and 5,681.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 14,348.18 = 5,681.59 : x
2. Step 2: Convert to fraction form
   10,397/14,348.18 = 5,681.59/x
3. Step 3: Cross multiply
   10,397x = 14,348.18 × 5,681.59
4. Step 4: Simplify right side
   10,397x = 81,520,476.01
5. Step 5: Solve for x
   x = 81,520,476.01/10,397
6. Step 6: Final answer
   x = 7,840.77