Finding the Fourth Proportional to 10,293.54, 14,205.06 and 5,577.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.54 : 14,205.06 = 5,577.90 : x
2. Step 2: Convert to fraction form
   10,293.54/14,205.06 = 5,577.90/x
3. Step 3: Cross multiply
   10,293.54x = 14,205.06 × 5,577.90
4. Step 4: Simplify right side
   10,293.54x = 79,234,404.17
5. Step 5: Solve for x
   x = 79,234,404.17/10,293.54
6. Step 6: Final answer
   x = 7,697.49