Finding the Fourth Proportional to 10,293.50, 14,205.04 and 5,577.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.50 : 14,205.04 = 5,577.78 : x
2. Step 2: Convert to fraction form
   10,293.50/14,205.04 = 5,577.78/x
3. Step 3: Cross multiply
   10,293.50x = 14,205.04 × 5,577.78
4. Step 4: Simplify right side
   10,293.50x = 79,232,588.01
5. Step 5: Solve for x
   x = 79,232,588.01/10,293.50
6. Step 6: Final answer
   x = 7,697.34