Finding the Fourth Proportional to 1,259.34, 1,737.90 and 761.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.34 : 1,737.90 = 761.82 : x
2. Step 2: Convert to fraction form
   1,259.34/1,737.90 = 761.82/x
3. Step 3: Cross multiply
   1,259.34x = 1,737.90 × 761.82
4. Step 4: Simplify right side
   1,259.34x = 1,323,966.98
5. Step 5: Solve for x
   x = 1,323,966.98/1,259.34
6. Step 6: Final answer
   x = 1,051.32