Finding the Fourth Proportional to 9,834.16, 13,570.61 and 5,585.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.16 : 13,570.61 = 5,585.12 : x
2. Step 2: Convert to fraction form
   9,834.16/13,570.61 = 5,585.12/x
3. Step 3: Cross multiply
   9,834.16x = 13,570.61 × 5,585.12
4. Step 4: Simplify right side
   9,834.16x = 75,793,389.54
5. Step 5: Solve for x
   x = 75,793,389.54/9,834.16
6. Step 6: Final answer
   x = 7,707.15