Finding the Fourth Proportional to 10,054.63, 13,873.32 and 5,577.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.63 : 13,873.32 = 5,577.42 : x
2. Step 2: Convert to fraction form
   10,054.63/13,873.32 = 5,577.42/x
3. Step 3: Cross multiply
   10,054.63x = 13,873.32 × 5,577.42
4. Step 4: Simplify right side
   10,054.63x = 77,377,332.43
5. Step 5: Solve for x
   x = 77,377,332.43/10,054.63
6. Step 6: Final answer
   x = 7,695.69