Finding the Fourth Proportional to 9,853.78, 14,785.32 and 4,923.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,853.78 : 14,785.32 = 4,923.82 : x
2. Step 2: Convert to fraction form
   9,853.78/14,785.32 = 4,923.82/x
3. Step 3: Cross multiply
   9,853.78x = 14,785.32 × 4,923.82
4. Step 4: Simplify right side
   9,853.78x = 72,800,254.32
5. Step 5: Solve for x
   x = 72,800,254.32/9,853.78
6. Step 6: Final answer
   x = 7,388.05