Finding the Fourth Proportional to 3,792.78, 5,230.56 and 2,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.78 : 5,230.56 = 2,599.50 : x
2. Step 2: Convert to fraction form
   3,792.78/5,230.56 = 2,599.50/x
3. Step 3: Cross multiply
   3,792.78x = 5,230.56 × 2,599.50
4. Step 4: Simplify right side
   3,792.78x = 13,596,840.72
5. Step 5: Solve for x
   x = 13,596,840.72/3,792.78
6. Step 6: Final answer
   x = 3,584.93