Finding the Fourth Proportional to 1,337.34, 1,845.22 and 777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.34 : 1,845.22 = 777.50 : x
2. Step 2: Convert to fraction form
   1,337.34/1,845.22 = 777.50/x
3. Step 3: Cross multiply
   1,337.34x = 1,845.22 × 777.50
4. Step 4: Simplify right side
   1,337.34x = 1,434,647.38
5. Step 5: Solve for x
   x = 1,434,647.38/1,337.34
6. Step 6: Final answer
   x = 1,072.76