Finding the Fourth Proportional to 5,192.94, 7,781.57 and 3,870.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,192.94 : 7,781.57 = 3,870.45 : x
2. Step 2: Convert to fraction form
   5,192.94/7,781.57 = 3,870.45/x
3. Step 3: Cross multiply
   5,192.94x = 7,781.57 × 3,870.45
4. Step 4: Simplify right side
   5,192.94x = 30,118,172.77
5. Step 5: Solve for x
   x = 30,118,172.77/5,192.94
6. Step 6: Final answer
   x = 5,799.83