Finding the Fourth Proportional to 5,084.86, 7,627.56 and 1,577.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,084.86 : 7,627.56 = 1,577.29 : x
2. Step 2: Convert to fraction form
   5,084.86/7,627.56 = 1,577.29/x
3. Step 3: Cross multiply
   5,084.86x = 7,627.56 × 1,577.29
4. Step 4: Simplify right side
   5,084.86x = 12,030,828.09
5. Step 5: Solve for x
   x = 12,030,828.09/5,084.86
6. Step 6: Final answer
   x = 2,366.01