Finding the Fourth Proportional to 1,429.59, 2,143.61 and 772.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.59 : 2,143.61 = 772.26 : x
2. Step 2: Convert to fraction form
   1,429.59/2,143.61 = 772.26/x
3. Step 3: Cross multiply
   1,429.59x = 2,143.61 × 772.26
4. Step 4: Simplify right side
   1,429.59x = 1,655,415.25
5. Step 5: Solve for x
   x = 1,655,415.25/1,429.59
6. Step 6: Final answer
   x = 1,157.96