Finding the Fourth Proportional to 1,142.59, 1,710.98 and 776.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.59 : 1,710.98 = 776.26 : x
2. Step 2: Convert to fraction form
   1,142.59/1,710.98 = 776.26/x
3. Step 3: Cross multiply
   1,142.59x = 1,710.98 × 776.26
4. Step 4: Simplify right side
   1,142.59x = 1,328,152.90
5. Step 5: Solve for x
   x = 1,328,152.90/1,142.59
6. Step 6: Final answer
   x = 1,162.41