Finding the Fourth Proportional to 1,111.83, 1,666.76 and 462.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.83 : 1,666.76 = 462.15 : x
2. Step 2: Convert to fraction form
   1,111.83/1,666.76 = 462.15/x
3. Step 3: Cross multiply
   1,111.83x = 1,666.76 × 462.15
4. Step 4: Simplify right side
   1,111.83x = 770,290.82
5. Step 5: Solve for x
   x = 770,290.82/1,111.83
6. Step 6: Final answer
   x = 692.81