Finding the Fourth Proportional to 1,064.50, 1,469.01 and 598.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.50 : 1,469.01 = 598.76 : x
2. Step 2: Convert to fraction form
   1,064.50/1,469.01 = 598.76/x
3. Step 3: Cross multiply
   1,064.50x = 1,469.01 × 598.76
4. Step 4: Simplify right side
   1,064.50x = 879,584.43
5. Step 5: Solve for x
   x = 879,584.43/1,064.50
6. Step 6: Final answer
   x = 826.29