Finding the Fourth Proportional to 2,589.42, 3,886.16 and 947.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.42 : 3,886.16 = 947.55 : x
2. Step 2: Convert to fraction form
   2,589.42/3,886.16 = 947.55/x
3. Step 3: Cross multiply
   2,589.42x = 3,886.16 × 947.55
4. Step 4: Simplify right side
   2,589.42x = 3,682,326.17
5. Step 5: Solve for x
   x = 3,682,326.17/2,589.42
6. Step 6: Final answer
   x = 1,422.07