Finding the Fourth Proportional to 1,164.16, 1,607.24 and 766.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.16 : 1,607.24 = 766.46 : x
2. Step 2: Convert to fraction form
   1,164.16/1,607.24 = 766.46/x
3. Step 3: Cross multiply
   1,164.16x = 1,607.24 × 766.46
4. Step 4: Simplify right side
   1,164.16x = 1,231,885.17
5. Step 5: Solve for x
   x = 1,231,885.17/1,164.16
6. Step 6: Final answer
   x = 1,058.18