Finding the Fourth Proportional to 1,501.50, 2,251.53 and 771.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.50 : 2,251.53 = 771.42 : x
2. Step 2: Convert to fraction form
   1,501.50/2,251.53 = 771.42/x
3. Step 3: Cross multiply
   1,501.50x = 2,251.53 × 771.42
4. Step 4: Simplify right side
   1,501.50x = 1,736,875.27
5. Step 5: Solve for x
   x = 1,736,875.27/1,501.50
6. Step 6: Final answer
   x = 1,156.76