Finding the Fourth Proportional to 10,852.58, 16,264.62 and 5,583.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,852.58 : 16,264.62 = 5,583.14 : x
2. Step 2: Convert to fraction form
   10,852.58/16,264.62 = 5,583.14/x
3. Step 3: Cross multiply
   10,852.58x = 16,264.62 × 5,583.14
4. Step 4: Simplify right side
   10,852.58x = 90,807,650.51
5. Step 5: Solve for x
   x = 90,807,650.51/10,852.58
6. Step 6: Final answer
   x = 8,367.38