Finding the Fourth Proportional to 10,830.15, 14,943.42 and 6,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,830.15 : 14,943.42 = 6,583.50 : x
2. Step 2: Convert to fraction form
   10,830.15/14,943.42 = 6,583.50/x
3. Step 3: Cross multiply
   10,830.15x = 14,943.42 × 6,583.50
4. Step 4: Simplify right side
   10,830.15x = 98,380,005.57
5. Step 5: Solve for x
   x = 98,380,005.57/10,830.15
6. Step 6: Final answer
   x = 9,083.90