Finding the Fourth Proportional to 10,802.56, 14,907.54 and 5,834.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.56 : 14,907.54 = 5,834.56 : x
2. Step 2: Convert to fraction form
   10,802.56/14,907.54 = 5,834.56/x
3. Step 3: Cross multiply
   10,802.56x = 14,907.54 × 5,834.56
4. Step 4: Simplify right side
   10,802.56x = 86,978,936.58
5. Step 5: Solve for x
   x = 86,978,936.58/10,802.56
6. Step 6: Final answer
   x = 8,051.70