Finding the Fourth Proportional to 1,071.62, 1,478.33 and 776.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.62 : 1,478.33 = 776.24 : x
2. Step 2: Convert to fraction form
   1,071.62/1,478.33 = 776.24/x
3. Step 3: Cross multiply
   1,071.62x = 1,478.33 × 776.24
4. Step 4: Simplify right side
   1,071.62x = 1,147,538.88
5. Step 5: Solve for x
   x = 1,147,538.88/1,071.62
6. Step 6: Final answer
   x = 1,070.84