Finding the Fourth Proportional to 10,582, 14,599.83 and 7,045.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 14,599.83 = 7,045.78 : x
2. Step 2: Convert to fraction form
   10,582/14,599.83 = 7,045.78/x
3. Step 3: Cross multiply
   10,582x = 14,599.83 × 7,045.78
4. Step 4: Simplify right side
   10,582x = 102,867,190.22
5. Step 5: Solve for x
   x = 102,867,190.22/10,582
6. Step 6: Final answer
   x = 9,720.96