Finding the Fourth Proportional to 10,133.48, 13,982.77 and 5,656.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,133.48 : 13,982.77 = 5,656.61 : x
2. Step 2: Convert to fraction form
   10,133.48/13,982.77 = 5,656.61/x
3. Step 3: Cross multiply
   10,133.48x = 13,982.77 × 5,656.61
4. Step 4: Simplify right side
   10,133.48x = 79,095,076.61
5. Step 5: Solve for x
   x = 79,095,076.61/10,133.48
6. Step 6: Final answer
   x = 7,805.32