Finding the Fourth Proportional to 1,012.10, 1,413.70 and 1,012.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.10 : 1,413.70 = 1,012.10 : x
2. Step 2: Convert to fraction form
   1,012.10/1,413.70 = 1,012.10/x
3. Step 3: Cross multiply
   1,012.10x = 1,413.70 × 1,012.10
4. Step 4: Simplify right side
   1,012.10x = 1,430,805.77
5. Step 5: Solve for x
   x = 1,430,805.77/1,012.10
6. Step 6: Final answer
   x = 1,413.70