Finding the Fourth Proportional to 12,577.56, 17,355.83 and 7,540.84

Step by Step Solution

1. Step 1: Write the proportion equation
   12,577.56 : 17,355.83 = 7,540.84 : x
2. Step 2: Convert to fraction form
   12,577.56/17,355.83 = 7,540.84/x
3. Step 3: Cross multiply
   12,577.56x = 17,355.83 × 7,540.84
4. Step 4: Simplify right side
   12,577.56x = 130,877,537.10
5. Step 5: Solve for x
   x = 130,877,537.10/12,577.56
6. Step 6: Final answer
   x = 10,405.64