Finding the Fourth Proportional to 10,397.61, 14,349.69 and 5,682.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.61 : 14,349.69 = 5,682.60 : x
2. Step 2: Convert to fraction form
   10,397.61/14,349.69 = 5,682.60/x
3. Step 3: Cross multiply
   10,397.61x = 14,349.69 × 5,682.60
4. Step 4: Simplify right side
   10,397.61x = 81,543,548.39
5. Step 5: Solve for x
   x = 81,543,548.39/10,397.61
6. Step 6: Final answer
   x = 7,842.53