Finding the Fourth Proportional to 1,111.16, 1,666.94 and 461.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.16 : 1,666.94 = 461.94 : x
2. Step 2: Convert to fraction form
   1,111.16/1,666.94 = 461.94/x
3. Step 3: Cross multiply
   1,111.16x = 1,666.94 × 461.94
4. Step 4: Simplify right side
   1,111.16x = 770,026.26
5. Step 5: Solve for x
   x = 770,026.26/1,111.16
6. Step 6: Final answer
   x = 692.99