Finding the Fourth Proportional to 5,634.36, 7,780.86 and 3,870.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634.36 : 7,780.86 = 3,870.18 : x
2. Step 2: Convert to fraction form
   5,634.36/7,780.86 = 3,870.18/x
3. Step 3: Cross multiply
   5,634.36x = 7,780.86 × 3,870.18
4. Step 4: Simplify right side
   5,634.36x = 30,113,328.75
5. Step 5: Solve for x
   x = 30,113,328.75/5,634.36
6. Step 6: Final answer
   x = 5,344.59