Finding the Fourth Proportional to 10,053.84, 13,874.34 and 5,577.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.84 : 13,874.34 = 5,577.58 : x
2. Step 2: Convert to fraction form
   10,053.84/13,874.34 = 5,577.58/x
3. Step 3: Cross multiply
   10,053.84x = 13,874.34 × 5,577.58
4. Step 4: Simplify right side
   10,053.84x = 77,385,241.30
5. Step 5: Solve for x
   x = 77,385,241.30/10,053.84
6. Step 6: Final answer
   x = 7,697.08