Finding the Fourth Proportional to 1,429.96, 2,145.34 and 781.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.96 : 2,145.34 = 781.14 : x
2. Step 2: Convert to fraction form
   1,429.96/2,145.34 = 781.14/x
3. Step 3: Cross multiply
   1,429.96x = 2,145.34 × 781.14
4. Step 4: Simplify right side
   1,429.96x = 1,675,810.89
5. Step 5: Solve for x
   x = 1,675,810.89/1,429.96
6. Step 6: Final answer
   x = 1,171.93