Finding the Fourth Proportional to 1,057.50, 1,459.01 and 684.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.50 : 1,459.01 = 684.77 : x
2. Step 2: Convert to fraction form
   1,057.50/1,459.01 = 684.77/x
3. Step 3: Cross multiply
   1,057.50x = 1,459.01 × 684.77
4. Step 4: Simplify right side
   1,057.50x = 999,080.69
5. Step 5: Solve for x
   x = 999,080.69/1,057.50
6. Step 6: Final answer
   x = 944.76