Finding the Fourth Proportional to 10,293.71, 14,205.29 and 5,577.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.71 : 14,205.29 = 5,577.98 : x
2. Step 2: Convert to fraction form
   10,293.71/14,205.29 = 5,577.98/x
3. Step 3: Cross multiply
   10,293.71x = 14,205.29 × 5,577.98
4. Step 4: Simplify right side
   10,293.71x = 79,236,795.62
5. Step 5: Solve for x
   x = 79,236,795.62/10,293.71
6. Step 6: Final answer
   x = 7,697.59