Finding the Fourth Proportional to 7,844.00, 10,824.89 and 4,307.22

Step by Step Solution

1. Step 1: Write the proportion equation
   7,844.00 : 10,824.89 = 4,307.22 : x
2. Step 2: Convert to fraction form
   7,844.00/10,824.89 = 4,307.22/x
3. Step 3: Cross multiply
   7,844.00x = 10,824.89 × 4,307.22
4. Step 4: Simplify right side
   7,844.00x = 46,625,161.17
5. Step 5: Solve for x
   x = 46,625,161.17/7,844.00
6. Step 6: Final answer
   x = 5,944.06