Finding the Fourth Proportional to 1,298.96, 1,948.82 and 772.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.96 : 1,948.82 = 772.35 : x
2. Step 2: Convert to fraction form
   1,298.96/1,948.82 = 772.35/x
3. Step 3: Cross multiply
   1,298.96x = 1,948.82 × 772.35
4. Step 4: Simplify right side
   1,298.96x = 1,505,167.27
5. Step 5: Solve for x
   x = 1,505,167.27/1,298.96
6. Step 6: Final answer
   x = 1,158.75