Finding the Fourth Proportional to 1,193.43, 1,789.86 and 500.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.43 : 1,789.86 = 500.07 : x
2. Step 2: Convert to fraction form
   1,193.43/1,789.86 = 500.07/x
3. Step 3: Cross multiply
   1,193.43x = 1,789.86 × 500.07
4. Step 4: Simplify right side
   1,193.43x = 895,055.29
5. Step 5: Solve for x
   x = 895,055.29/1,193.43
6. Step 6: Final answer
   x = 749.99