Finding the Fourth Proportional to 9,285.25, 12,813.86 and 5,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,285.25 : 12,813.86 = 5,093.50 : x
2. Step 2: Convert to fraction form
   9,285.25/12,813.86 = 5,093.50/x
3. Step 3: Cross multiply
   9,285.25x = 12,813.86 × 5,093.50
4. Step 4: Simplify right side
   9,285.25x = 65,267,395.91
5. Step 5: Solve for x
   x = 65,267,395.91/9,285.25
6. Step 6: Final answer
   x = 7,029.15