Finding the Fourth Proportional to 7,844.10, 10,824.72 and 4,307.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,844.10 : 10,824.72 = 4,307.10 : x
2. Step 2: Convert to fraction form
   7,844.10/10,824.72 = 4,307.10/x
3. Step 3: Cross multiply
   7,844.10x = 10,824.72 × 4,307.10
4. Step 4: Simplify right side
   7,844.10x = 46,623,151.51
5. Step 5: Solve for x
   x = 46,623,151.51/7,844.10
6. Step 6: Final answer
   x = 5,943.72