Finding the Fourth Proportional to 10,054.33, 13,875.20 and 5,577.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.33 : 13,875.20 = 5,577.91 : x
2. Step 2: Convert to fraction form
   10,054.33/13,875.20 = 5,577.91/x
3. Step 3: Cross multiply
   10,054.33x = 13,875.20 × 5,577.91
4. Step 4: Simplify right side
   10,054.33x = 77,394,653.22
5. Step 5: Solve for x
   x = 77,394,653.22/10,054.33
6. Step 6: Final answer
   x = 7,697.65