Finding the Fourth Proportional to 5,637.96, 7,780.86 and 3,870.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,637.96 : 7,780.86 = 3,870.18 : x
2. Step 2: Convert to fraction form
   5,637.96/7,780.86 = 3,870.18/x
3. Step 3: Cross multiply
   5,637.96x = 7,780.86 × 3,870.18
4. Step 4: Simplify right side
   5,637.96x = 30,113,328.75
5. Step 5: Solve for x
   x = 30,113,328.75/5,637.96
6. Step 6: Final answer
   x = 5,341.17