Finding the Fourth Proportional to 10,782.89, 16,150.95 and 5,224.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.89 : 16,150.95 = 5,224.58 : x
2. Step 2: Convert to fraction form
   10,782.89/16,150.95 = 5,224.58/x
3. Step 3: Cross multiply
   10,782.89x = 16,150.95 × 5,224.58
4. Step 4: Simplify right side
   10,782.89x = 84,381,953.33
5. Step 5: Solve for x
   x = 84,381,953.33/10,782.89
6. Step 6: Final answer
   x = 7,825.54