Finding the Fourth Proportional to 9,784.51, 13,499.42 and 5,535.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.51 : 13,499.42 = 5,535.16 : x
2. Step 2: Convert to fraction form
   9,784.51/13,499.42 = 5,535.16/x
3. Step 3: Cross multiply
   9,784.51x = 13,499.42 × 5,535.16
4. Step 4: Simplify right side
   9,784.51x = 74,721,429.70
5. Step 5: Solve for x
   x = 74,721,429.70/9,784.51
6. Step 6: Final answer
   x = 7,636.71