Finding the Fourth Proportional to 1,012.02, 1,523.52 and 689.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.02 : 1,523.52 = 689.46 : x
2. Step 2: Convert to fraction form
   1,012.02/1,523.52 = 689.46/x
3. Step 3: Cross multiply
   1,012.02x = 1,523.52 × 689.46
4. Step 4: Simplify right side
   1,012.02x = 1,050,406.10
5. Step 5: Solve for x
   x = 1,050,406.10/1,012.02
6. Step 6: Final answer
   x = 1,037.93