Finding the Fourth Proportional to 10,452.58, 14,424.80 and 5,736.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,452.58 : 14,424.80 = 5,736.86 : x
2. Step 2: Convert to fraction form
   10,452.58/14,424.80 = 5,736.86/x
3. Step 3: Cross multiply
   10,452.58x = 14,424.80 × 5,736.86
4. Step 4: Simplify right side
   10,452.58x = 82,753,058.13
5. Step 5: Solve for x
   x = 82,753,058.13/10,452.58
6. Step 6: Final answer
   x = 7,917.00