Finding the Fourth Proportional to 1,071.67, 1,475.61 and 806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.67 : 1,475.61 = 806.50 : x
2. Step 2: Convert to fraction form
   1,071.67/1,475.61 = 806.50/x
3. Step 3: Cross multiply
   1,071.67x = 1,475.61 × 806.50
4. Step 4: Simplify right side
   1,071.67x = 1,190,079.47
5. Step 5: Solve for x
   x = 1,190,079.47/1,071.67
6. Step 6: Final answer
   x = 1,110.49