Finding the Fourth Proportional to 3,870.47, 5,342.63 and 2,298.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.47 : 5,342.63 = 2,298.57 : x
2. Step 2: Convert to fraction form
   3,870.47/5,342.63 = 2,298.57/x
3. Step 3: Cross multiply
   3,870.47x = 5,342.63 × 2,298.57
4. Step 4: Simplify right side
   3,870.47x = 12,280,397.55
5. Step 5: Solve for x
   x = 12,280,397.55/3,870.47
6. Step 6: Final answer
   x = 3,172.85