Finding the Fourth Proportional to 10,293.25, 14,204.71 and 5,577.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.25 : 14,204.71 = 5,577.53 : x
2. Step 2: Convert to fraction form
   10,293.25/14,204.71 = 5,577.53/x
3. Step 3: Cross multiply
   10,293.25x = 14,204.71 × 5,577.53
4. Step 4: Simplify right side
   10,293.25x = 79,227,196.17
5. Step 5: Solve for x
   x = 79,227,196.17/10,293.25
6. Step 6: Final answer
   x = 7,697.00