Finding the Fourth Proportional to 2,135.50, 2,947 and 1,191.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,135.50 : 2,947 = 1,191.22 : x
2. Step 2: Convert to fraction form
   2,135.50/2,947 = 1,191.22/x
3. Step 3: Cross multiply
   2,135.50x = 2,947 × 1,191.22
4. Step 4: Simplify right side
   2,135.50x = 3,510,525.34
5. Step 5: Solve for x
   x = 3,510,525.34/2,135.50
6. Step 6: Final answer
   x = 1,643.89