Finding the Fourth Proportional to 1,602.52, 2,401.56 and 779.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.52 : 2,401.56 = 779.14 : x
2. Step 2: Convert to fraction form
   1,602.52/2,401.56 = 779.14/x
3. Step 3: Cross multiply
   1,602.52x = 2,401.56 × 779.14
4. Step 4: Simplify right side
   1,602.52x = 1,871,151.46
5. Step 5: Solve for x
   x = 1,871,151.46/1,602.52
6. Step 6: Final answer
   x = 1,167.63