Finding the Fourth Proportional to 2,102.02, 3,154.71 and 947.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102.02 : 3,154.71 = 947.86 : x
2. Step 2: Convert to fraction form
   2,102.02/3,154.71 = 947.86/x
3. Step 3: Cross multiply
   2,102.02x = 3,154.71 × 947.86
4. Step 4: Simplify right side
   2,102.02x = 2,990,223.42
5. Step 5: Solve for x
   x = 2,990,223.42/2,102.02
6. Step 6: Final answer
   x = 1,422.55