Finding the Fourth Proportional to 1,071.06, 1,477.93 and 598.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.06 : 1,477.93 = 598.98 : x
2. Step 2: Convert to fraction form
   1,071.06/1,477.93 = 598.98/x
3. Step 3: Cross multiply
   1,071.06x = 1,477.93 × 598.98
4. Step 4: Simplify right side
   1,071.06x = 885,250.51
5. Step 5: Solve for x
   x = 885,250.51/1,071.06
6. Step 6: Final answer
   x = 826.52