Finding the Fourth Proportional to 10,293.35, 14,204.86 and 5,577.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.35 : 14,204.86 = 5,577.62 : x
2. Step 2: Convert to fraction form
   10,293.35/14,204.86 = 5,577.62/x
3. Step 3: Cross multiply
   10,293.35x = 14,204.86 × 5,577.62
4. Step 4: Simplify right side
   10,293.35x = 79,229,226.26
5. Step 5: Solve for x
   x = 79,229,226.26/10,293.35
6. Step 6: Final answer
   x = 7,697.13