Finding the Fourth Proportional to 7,864.30, 10,852.69 and 4,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,864.30 : 10,852.69 = 4,327.50 : x
2. Step 2: Convert to fraction form
   7,864.30/10,852.69 = 4,327.50/x
3. Step 3: Cross multiply
   7,864.30x = 10,852.69 × 4,327.50
4. Step 4: Simplify right side
   7,864.30x = 46,965,015.98
5. Step 5: Solve for x
   x = 46,965,015.98/7,864.30
6. Step 6: Final answer
   x = 5,971.93