Finding the Fourth Proportional to 1,602.50, 2,402.30 and 769.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.50 : 2,402.30 = 769.05 : x
2. Step 2: Convert to fraction form
   1,602.50/2,402.30 = 769.05/x
3. Step 3: Cross multiply
   1,602.50x = 2,402.30 × 769.05
4. Step 4: Simplify right side
   1,602.50x = 1,847,490.74
5. Step 5: Solve for x
   x = 1,847,490.74/1,602.50
6. Step 6: Final answer
   x = 1,152.88