Finding the Fourth Proportional to 10,822.50, 14,935.05 and 5,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.50 : 14,935.05 = 5,854.50 : x
2. Step 2: Convert to fraction form
   10,822.50/14,935.05 = 5,854.50/x
3. Step 3: Cross multiply
   10,822.50x = 14,935.05 × 5,854.50
4. Step 4: Simplify right side
   10,822.50x = 87,437,250.23
5. Step 5: Solve for x
   x = 87,437,250.23/10,822.50
6. Step 6: Final answer
   x = 8,079.21