Finding the Fourth Proportional to 1,059.98, 1,588.43 and 511.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.98 : 1,588.43 = 511.52 : x
2. Step 2: Convert to fraction form
   1,059.98/1,588.43 = 511.52/x
3. Step 3: Cross multiply
   1,059.98x = 1,588.43 × 511.52
4. Step 4: Simplify right side
   1,059.98x = 812,518.96
5. Step 5: Solve for x
   x = 812,518.96/1,059.98
6. Step 6: Final answer
   x = 766.54