Finding the Fourth Proportional to 1,434.01, 2,149.63 and 784.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.01 : 2,149.63 = 784.29 : x
2. Step 2: Convert to fraction form
   1,434.01/2,149.63 = 784.29/x
3. Step 3: Cross multiply
   1,434.01x = 2,149.63 × 784.29
4. Step 4: Simplify right side
   1,434.01x = 1,685,933.31
5. Step 5: Solve for x
   x = 1,685,933.31/1,434.01
6. Step 6: Final answer
   x = 1,175.68