Finding the Fourth Proportional to 1,429.91, 2,145.54 and 506.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.91 : 2,145.54 = 506.17 : x
2. Step 2: Convert to fraction form
   1,429.91/2,145.54 = 506.17/x
3. Step 3: Cross multiply
   1,429.91x = 2,145.54 × 506.17
4. Step 4: Simplify right side
   1,429.91x = 1,085,994.72
5. Step 5: Solve for x
   x = 1,085,994.72/1,429.91
6. Step 6: Final answer
   x = 759.48