Finding the Fourth Proportional to 2,191.75, 3,024.62 and 1,406.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.75 : 3,024.62 = 1,406.86 : x
2. Step 2: Convert to fraction form
   2,191.75/3,024.62 = 1,406.86/x
3. Step 3: Cross multiply
   2,191.75x = 3,024.62 × 1,406.86
4. Step 4: Simplify right side
   2,191.75x = 4,255,216.89
5. Step 5: Solve for x
   x = 4,255,216.89/2,191.75
6. Step 6: Final answer
   x = 1,941.47