Finding the Fourth Proportional to 1,059.53, 1,588.10 and 510.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.53 : 1,588.10 = 510.93 : x
2. Step 2: Convert to fraction form
   1,059.53/1,588.10 = 510.93/x
3. Step 3: Cross multiply
   1,059.53x = 1,588.10 × 510.93
4. Step 4: Simplify right side
   1,059.53x = 811,405.38
5. Step 5: Solve for x
   x = 811,405.38/1,059.53
6. Step 6: Final answer
   x = 765.82