Finding the Fourth Proportional to 1,417.72, 2,122.62 and 766.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.72 : 2,122.62 = 766.12 : x
2. Step 2: Convert to fraction form
   1,417.72/2,122.62 = 766.12/x
3. Step 3: Cross multiply
   1,417.72x = 2,122.62 × 766.12
4. Step 4: Simplify right side
   1,417.72x = 1,626,181.63
5. Step 5: Solve for x
   x = 1,626,181.63/1,417.72
6. Step 6: Final answer
   x = 1,147.04