Finding the Fourth Proportional to 9,833.50, 13,570.35 and 5,642.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.50 : 13,570.35 = 5,642.14 : x
2. Step 2: Convert to fraction form
   9,833.50/13,570.35 = 5,642.14/x
3. Step 3: Cross multiply
   9,833.50x = 13,570.35 × 5,642.14
4. Step 4: Simplify right side
   9,833.50x = 76,565,814.55
5. Step 5: Solve for x
   x = 76,565,814.55/9,833.50
6. Step 6: Final answer
   x = 7,786.22