Finding the Fourth Proportional to 1,192.32, 1,788.82 and 462.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.32 : 1,788.82 = 462.10 : x
2. Step 2: Convert to fraction form
   1,192.32/1,788.82 = 462.10/x
3. Step 3: Cross multiply
   1,192.32x = 1,788.82 × 462.10
4. Step 4: Simplify right side
   1,192.32x = 826,613.72
5. Step 5: Solve for x
   x = 826,613.72/1,192.32
6. Step 6: Final answer
   x = 693.28