Finding the Fourth Proportional to 6,426.14, 8,870.52 and 4,188.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426.14 : 8,870.52 = 4,188.56 : x
2. Step 2: Convert to fraction form
   6,426.14/8,870.52 = 4,188.56/x
3. Step 3: Cross multiply
   6,426.14x = 8,870.52 × 4,188.56
4. Step 4: Simplify right side
   6,426.14x = 37,154,705.25
5. Step 5: Solve for x
   x = 37,154,705.25/6,426.14
6. Step 6: Final answer
   x = 5,781.81