Finding the Fourth Proportional to 13,084.82, 19,594.41 and 7,816.58

Step by Step Solution

1. Step 1: Write the proportion equation
   13,084.82 : 19,594.41 = 7,816.58 : x
2. Step 2: Convert to fraction form
   13,084.82/19,594.41 = 7,816.58/x
3. Step 3: Cross multiply
   13,084.82x = 19,594.41 × 7,816.58
4. Step 4: Simplify right side
   13,084.82x = 153,161,273.32
5. Step 5: Solve for x
   x = 153,161,273.32/13,084.82
6. Step 6: Final answer
   x = 11,705.26