Finding the Fourth Proportional to 10,853.25, 14,977.58 and 5,885.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,853.25 : 14,977.58 = 5,885.25 : x
2. Step 2: Convert to fraction form
   10,853.25/14,977.58 = 5,885.25/x
3. Step 3: Cross multiply
   10,853.25x = 14,977.58 × 5,885.25
4. Step 4: Simplify right side
   10,853.25x = 88,146,773.27
5. Step 5: Solve for x
   x = 88,146,773.27/10,853.25
6. Step 6: Final answer
   x = 8,121.69