Finding the Fourth Proportional to 1,111.98, 1,667.07 and 463.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.98 : 1,667.07 = 463.20 : x
2. Step 2: Convert to fraction form
   1,111.98/1,667.07 = 463.20/x
3. Step 3: Cross multiply
   1,111.98x = 1,667.07 × 463.20
4. Step 4: Simplify right side
   1,111.98x = 772,186.82
5. Step 5: Solve for x
   x = 772,186.82/1,111.98
6. Step 6: Final answer
   x = 694.43