Finding the Fourth Proportional to 1,070.64, 1,477.43 and 598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,070.64 : 1,477.43 = 598.50 : x
2. Step 2: Convert to fraction form
   1,070.64/1,477.43 = 598.50/x
3. Step 3: Cross multiply
   1,070.64x = 1,477.43 × 598.50
4. Step 4: Simplify right side
   1,070.64x = 884,238.86
5. Step 5: Solve for x
   x = 884,238.86/1,070.64
6. Step 6: Final answer
   x = 825.90