Finding the Fourth Proportional to 760.89, 1,142.42 and 726.09

Step by Step Solution

1. Step 1: Write the proportion equation
   760.89 : 1,142.42 = 726.09 : x
2. Step 2: Convert to fraction form
   760.89/1,142.42 = 726.09/x
3. Step 3: Cross multiply
   760.89x = 1,142.42 × 726.09
4. Step 4: Simplify right side
   760.89x = 829,499.74
5. Step 5: Solve for x
   x = 829,499.74/760.89
6. Step 6: Final answer
   x = 1,090.17