Finding the Fourth Proportional to 9,827.25, 14,736.25 and 3,582.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.25 : 14,736.25 = 3,582.87 : x
2. Step 2: Convert to fraction form
   9,827.25/14,736.25 = 3,582.87/x
3. Step 3: Cross multiply
   9,827.25x = 14,736.25 × 3,582.87
4. Step 4: Simplify right side
   9,827.25x = 52,798,068.04
5. Step 5: Solve for x
   x = 52,798,068.04/9,827.25
6. Step 6: Final answer
   x = 5,372.62