Finding the Fourth Proportional to 1,193.69, 1,789.86 and 462.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.69 : 1,789.86 = 462.71 : x
2. Step 2: Convert to fraction form
   1,193.69/1,789.86 = 462.71/x
3. Step 3: Cross multiply
   1,193.69x = 1,789.86 × 462.71
4. Step 4: Simplify right side
   1,193.69x = 828,186.12
5. Step 5: Solve for x
   x = 828,186.12/1,193.69
6. Step 6: Final answer
   x = 693.80