Finding the Fourth Proportional to 1,031.50, 1,545.42 and 684.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.50 : 1,545.42 = 684.01 : x
2. Step 2: Convert to fraction form
   1,031.50/1,545.42 = 684.01/x
3. Step 3: Cross multiply
   1,031.50x = 1,545.42 × 684.01
4. Step 4: Simplify right side
   1,031.50x = 1,057,075.01
5. Step 5: Solve for x
   x = 1,057,075.01/1,031.50
6. Step 6: Final answer
   x = 1,024.80