Finding the Fourth Proportional to 10,635.98, 14,677.14 and 5,855.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,635.98 : 14,677.14 = 5,855.82 : x
2. Step 2: Convert to fraction form
   10,635.98/14,677.14 = 5,855.82/x
3. Step 3: Cross multiply
   10,635.98x = 14,677.14 × 5,855.82
4. Step 4: Simplify right side
   10,635.98x = 85,946,689.95
5. Step 5: Solve for x
   x = 85,946,689.95/10,635.98
6. Step 6: Final answer
   x = 8,080.75