Finding the Fourth Proportional to 10,782.48, 16,166.16 and 5,585.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.48 : 16,166.16 = 5,585.52 : x
2. Step 2: Convert to fraction form
   10,782.48/16,166.16 = 5,585.52/x
3. Step 3: Cross multiply
   10,782.48x = 16,166.16 × 5,585.52
4. Step 4: Simplify right side
   10,782.48x = 90,296,410.00
5. Step 5: Solve for x
   x = 90,296,410.00/10,782.48
6. Step 6: Final answer
   x = 8,374.36