Finding the Fourth Proportional to 1,377.27, 1,900.65 and 747.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.27 : 1,900.65 = 747.80 : x
2. Step 2: Convert to fraction form
   1,377.27/1,900.65 = 747.80/x
3. Step 3: Cross multiply
   1,377.27x = 1,900.65 × 747.80
4. Step 4: Simplify right side
   1,377.27x = 1,421,312.98
5. Step 5: Solve for x
   x = 1,421,312.98/1,377.27
6. Step 6: Final answer
   x = 1,031.98