Finding the Fourth Proportional to 1,535.68, 2,120.10 and 1,012.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.68 : 2,120.10 = 1,012.62 : x
2. Step 2: Convert to fraction form
   1,535.68/2,120.10 = 1,012.62/x
3. Step 3: Cross multiply
   1,535.68x = 2,120.10 × 1,012.62
4. Step 4: Simplify right side
   1,535.68x = 2,146,855.66
5. Step 5: Solve for x
   x = 2,146,855.66/1,535.68
6. Step 6: Final answer
   x = 1,397.99