Finding the Fourth Proportional to 1,145.71, 1,580.24 and 746.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.71 : 1,580.24 = 746.63 : x
2. Step 2: Convert to fraction form
   1,145.71/1,580.24 = 746.63/x
3. Step 3: Cross multiply
   1,145.71x = 1,580.24 × 746.63
4. Step 4: Simplify right side
   1,145.71x = 1,179,854.59
5. Step 5: Solve for x
   x = 1,179,854.59/1,145.71
6. Step 6: Final answer
   x = 1,029.80