Finding the Fourth Proportional to 10,583.62, 14,605.42 and 5,867.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583.62 : 14,605.42 = 5,867.98 : x
2. Step 2: Convert to fraction form
   10,583.62/14,605.42 = 5,867.98/x
3. Step 3: Cross multiply
   10,583.62x = 14,605.42 × 5,867.98
4. Step 4: Simplify right side
   10,583.62x = 85,704,312.45
5. Step 5: Solve for x
   x = 85,704,312.45/10,583.62
6. Step 6: Final answer
   x = 8,097.83