Finding the Fourth Proportional to 1,037.74, 1,433.96 and 742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.74 : 1,433.96 = 742.50 : x
2. Step 2: Convert to fraction form
   1,037.74/1,433.96 = 742.50/x
3. Step 3: Cross multiply
   1,037.74x = 1,433.96 × 742.50
4. Step 4: Simplify right side
   1,037.74x = 1,064,715.30
5. Step 5: Solve for x
   x = 1,064,715.30/1,037.74
6. Step 6: Final answer
   x = 1,025.99