Finding the Fourth Proportional to 7,830, 10,807.83 and 5,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 10,807.83 = 5,035.50 : x
2. Step 2: Convert to fraction form
   7,830/10,807.83 = 5,035.50/x
3. Step 3: Cross multiply
   7,830x = 10,807.83 × 5,035.50
4. Step 4: Simplify right side
   7,830x = 54,422,827.97
5. Step 5: Solve for x
   x = 54,422,827.97/7,830
6. Step 6: Final answer
   x = 6,950.55