Finding the Fourth Proportional to 9,002.75, 12,416.69 and 5,642.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.75 : 12,416.69 = 5,642.06 : x
2. Step 2: Convert to fraction form
   9,002.75/12,416.69 = 5,642.06/x
3. Step 3: Cross multiply
   9,002.75x = 12,416.69 × 5,642.06
4. Step 4: Simplify right side
   9,002.75x = 70,055,662.00
5. Step 5: Solve for x
   x = 70,055,662.00/9,002.75
6. Step 6: Final answer
   x = 7,781.59