Finding the Fourth Proportional to 1,300.29, 1,948.37 and 779.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.29 : 1,948.37 = 779.01 : x
2. Step 2: Convert to fraction form
   1,300.29/1,948.37 = 779.01/x
3. Step 3: Cross multiply
   1,300.29x = 1,948.37 × 779.01
4. Step 4: Simplify right side
   1,300.29x = 1,517,795.82
5. Step 5: Solve for x
   x = 1,517,795.82/1,300.29
6. Step 6: Final answer
   x = 1,167.27