Finding the Fourth Proportional to 1,071.86, 1,477.58 and 756.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.86 : 1,477.58 = 756.09 : x
2. Step 2: Convert to fraction form
   1,071.86/1,477.58 = 756.09/x
3. Step 3: Cross multiply
   1,071.86x = 1,477.58 × 756.09
4. Step 4: Simplify right side
   1,071.86x = 1,117,179.68
5. Step 5: Solve for x
   x = 1,117,179.68/1,071.86
6. Step 6: Final answer
   x = 1,042.29