Finding the Fourth Proportional to 9,785.73, 14,665.71 and 5,345.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.73 : 14,665.71 = 5,345.35 : x
2. Step 2: Convert to fraction form
   9,785.73/14,665.71 = 5,345.35/x
3. Step 3: Cross multiply
   9,785.73x = 14,665.71 × 5,345.35
4. Step 4: Simplify right side
   9,785.73x = 78,393,352.95
5. Step 5: Solve for x
   x = 78,393,352.95/9,785.73
6. Step 6: Final answer
   x = 8,010.99