Finding the Fourth Proportional to 10,783.14, 14,875.77 and 7,794.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.14 : 14,875.77 = 7,794.24 : x
2. Step 2: Convert to fraction form
   10,783.14/14,875.77 = 7,794.24/x
3. Step 3: Cross multiply
   10,783.14x = 14,875.77 × 7,794.24
4. Step 4: Simplify right side
   10,783.14x = 115,945,321.56
5. Step 5: Solve for x
   x = 115,945,321.56/10,783.14
6. Step 6: Final answer
   x = 10,752.46