Finding the Fourth Proportional to 9,784.38, 13,502.35 and 5,536.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.38 : 13,502.35 = 5,536.27 : x
2. Step 2: Convert to fraction form
   9,784.38/13,502.35 = 5,536.27/x
3. Step 3: Cross multiply
   9,784.38x = 13,502.35 × 5,536.27
4. Step 4: Simplify right side
   9,784.38x = 74,752,607.64
5. Step 5: Solve for x
   x = 74,752,607.64/9,784.38
6. Step 6: Final answer
   x = 7,639.99