Finding the Fourth Proportional to 5,123.06, 7,686.42 and 2,527.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.06 : 7,686.42 = 2,527.82 : x
2. Step 2: Convert to fraction form
   5,123.06/7,686.42 = 2,527.82/x
3. Step 3: Cross multiply
   5,123.06x = 7,686.42 × 2,527.82
4. Step 4: Simplify right side
   5,123.06x = 19,429,895.94
5. Step 5: Solve for x
   x = 19,429,895.94/5,123.06
6. Step 6: Final answer
   x = 3,792.63