Finding the Fourth Proportional to 10,053.78, 13,875.20 and 5,577.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.78 : 13,875.20 = 5,577.54 : x
2. Step 2: Convert to fraction form
   10,053.78/13,875.20 = 5,577.54/x
3. Step 3: Cross multiply
   10,053.78x = 13,875.20 × 5,577.54
4. Step 4: Simplify right side
   10,053.78x = 77,389,483.01
5. Step 5: Solve for x
   x = 77,389,483.01/10,053.78
6. Step 6: Final answer
   x = 7,697.55