Finding the Fourth Proportional to 1,150.47, 1,588.01 and 777.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.47 : 1,588.01 = 777.20 : x
2. Step 2: Convert to fraction form
   1,150.47/1,588.01 = 777.20/x
3. Step 3: Cross multiply
   1,150.47x = 1,588.01 × 777.20
4. Step 4: Simplify right side
   1,150.47x = 1,234,189.55
5. Step 5: Solve for x
   x = 1,234,189.55/1,150.47
6. Step 6: Final answer
   x = 1,072.77