Finding the Fourth Proportional to 10,097.50, 13,934.56 and 5,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.50 : 13,934.56 = 5,681.50 : x
2. Step 2: Convert to fraction form
   10,097.50/13,934.56 = 5,681.50/x
3. Step 3: Cross multiply
   10,097.50x = 13,934.56 × 5,681.50
4. Step 4: Simplify right side
   10,097.50x = 79,169,202.64
5. Step 5: Solve for x
   x = 79,169,202.64/10,097.50
6. Step 6: Final answer
   x = 7,840.48