Finding the Fourth Proportional to 1,059.84, 1,588.56 and 510.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.84 : 1,588.56 = 510.78 : x
2. Step 2: Convert to fraction form
   1,059.84/1,588.56 = 510.78/x
3. Step 3: Cross multiply
   1,059.84x = 1,588.56 × 510.78
4. Step 4: Simplify right side
   1,059.84x = 811,404.68
5. Step 5: Solve for x
   x = 811,404.68/1,059.84
6. Step 6: Final answer
   x = 765.59