Finding the Fourth Proportional to 789.86, 1,090.24 and 510.10

Step by Step Solution

1. Step 1: Write the proportion equation
   789.86 : 1,090.24 = 510.10 : x
2. Step 2: Convert to fraction form
   789.86/1,090.24 = 510.10/x
3. Step 3: Cross multiply
   789.86x = 1,090.24 × 510.10
4. Step 4: Simplify right side
   789.86x = 556,131.42
5. Step 5: Solve for x
   x = 556,131.42/789.86
6. Step 6: Final answer
   x = 704.09