Finding the Fourth Proportional to 1,059.89, 1,588.01 and 511.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.89 : 1,588.01 = 511.72 : x
2. Step 2: Convert to fraction form
   1,059.89/1,588.01 = 511.72/x
3. Step 3: Cross multiply
   1,059.89x = 1,588.01 × 511.72
4. Step 4: Simplify right side
   1,059.89x = 812,609.95
5. Step 5: Solve for x
   x = 812,609.95/1,059.89
6. Step 6: Final answer
   x = 766.70