Finding the Fourth Proportional to 10,052.33, 15,085.79 and 5,678.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.33 : 15,085.79 = 5,678.33 : x
2. Step 2: Convert to fraction form
   10,052.33/15,085.79 = 5,678.33/x
3. Step 3: Cross multiply
   10,052.33x = 15,085.79 × 5,678.33
4. Step 4: Simplify right side
   10,052.33x = 85,662,065.54
5. Step 5: Solve for x
   x = 85,662,065.54/10,052.33
6. Step 6: Final answer
   x = 8,521.61