Finding the Fourth Proportional to 13,084.10, 18,053.61 and 7,780.22

Step by Step Solution

1. Step 1: Write the proportion equation
   13,084.10 : 18,053.61 = 7,780.22 : x
2. Step 2: Convert to fraction form
   13,084.10/18,053.61 = 7,780.22/x
3. Step 3: Cross multiply
   13,084.10x = 18,053.61 × 7,780.22
4. Step 4: Simplify right side
   13,084.10x = 140,461,057.59
5. Step 5: Solve for x
   x = 140,461,057.59/13,084.10
6. Step 6: Final answer
   x = 10,735.25