Finding the Fourth Proportional to 10,293.07, 14,204.43 and 5,577.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.07 : 14,204.43 = 5,577.35 : x
2. Step 2: Convert to fraction form
   10,293.07/14,204.43 = 5,577.35/x
3. Step 3: Cross multiply
   10,293.07x = 14,204.43 × 5,577.35
4. Step 4: Simplify right side
   10,293.07x = 79,222,978.75
5. Step 5: Solve for x
   x = 79,222,978.75/10,293.07
6. Step 6: Final answer
   x = 7,696.73