Finding the Fourth Proportional to 789.98, 1,090.54 and 588.59

Step by Step Solution

1. Step 1: Write the proportion equation
   789.98 : 1,090.54 = 588.59 : x
2. Step 2: Convert to fraction form
   789.98/1,090.54 = 588.59/x
3. Step 3: Cross multiply
   789.98x = 1,090.54 × 588.59
4. Step 4: Simplify right side
   789.98x = 641,881.72
5. Step 5: Solve for x
   x = 641,881.72/789.98
6. Step 6: Final answer
   x = 812.53