Finding the Fourth Proportional to 10,092.60, 13,926.18 and 5,616.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.60 : 13,926.18 = 5,616.33 : x
2. Step 2: Convert to fraction form
   10,092.60/13,926.18 = 5,616.33/x
3. Step 3: Cross multiply
   10,092.60x = 13,926.18 × 5,616.33
4. Step 4: Simplify right side
   10,092.60x = 78,214,022.52
5. Step 5: Solve for x
   x = 78,214,022.52/10,092.60
6. Step 6: Final answer
   x = 7,749.64