Finding the Fourth Proportional to 8,123.83, 12,186.18 and 2,577.60

Step by Step Solution

1. Step 1: Write the proportion equation
   8,123.83 : 12,186.18 = 2,577.60 : x
2. Step 2: Convert to fraction form
   8,123.83/12,186.18 = 2,577.60/x
3. Step 3: Cross multiply
   8,123.83x = 12,186.18 × 2,577.60
4. Step 4: Simplify right side
   8,123.83x = 31,411,097.57
5. Step 5: Solve for x
   x = 31,411,097.57/8,123.83
6. Step 6: Final answer
   x = 3,866.54