Finding the Fourth Proportional to 1,026.59, 1,416.42 and 764.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.59 : 1,416.42 = 764.15 : x
2. Step 2: Convert to fraction form
   1,026.59/1,416.42 = 764.15/x
3. Step 3: Cross multiply
   1,026.59x = 1,416.42 × 764.15
4. Step 4: Simplify right side
   1,026.59x = 1,082,350.26
5. Step 5: Solve for x
   x = 1,082,350.26/1,026.59
6. Step 6: Final answer
   x = 1,054.32