Finding the Fourth Proportional to 1,064.52, 1,468.80 and 598.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.52 : 1,468.80 = 598.74 : x
2. Step 2: Convert to fraction form
   1,064.52/1,468.80 = 598.74/x
3. Step 3: Cross multiply
   1,064.52x = 1,468.80 × 598.74
4. Step 4: Simplify right side
   1,064.52x = 879,429.31
5. Step 5: Solve for x
   x = 879,429.31/1,064.52
6. Step 6: Final answer
   x = 826.13