Finding the Fourth Proportional to 9,834.56, 13,570.17 and 5,642

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.56 : 13,570.17 = 5,642 : x
2. Step 2: Convert to fraction form
   9,834.56/13,570.17 = 5,642/x
3. Step 3: Cross multiply
   9,834.56x = 13,570.17 × 5,642
4. Step 4: Simplify right side
   9,834.56x = 76,562,899.14
5. Step 5: Solve for x
   x = 76,562,899.14/9,834.56
6. Step 6: Final answer
   x = 7,785.09