Finding the Fourth Proportional to 1,064.64, 1,468.96 and 598.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.64 : 1,468.96 = 598.72 : x
2. Step 2: Convert to fraction form
   1,064.64/1,468.96 = 598.72/x
3. Step 3: Cross multiply
   1,064.64x = 1,468.96 × 598.72
4. Step 4: Simplify right side
   1,064.64x = 879,495.73
5. Step 5: Solve for x
   x = 879,495.73/1,064.64
6. Step 6: Final answer
   x = 826.10