Finding the Fourth Proportional to 1,301.52, 1,796.32 and 777.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.52 : 1,796.32 = 777.86 : x
2. Step 2: Convert to fraction form
   1,301.52/1,796.32 = 777.86/x
3. Step 3: Cross multiply
   1,301.52x = 1,796.32 × 777.86
4. Step 4: Simplify right side
   1,301.52x = 1,397,285.48
5. Step 5: Solve for x
   x = 1,397,285.48/1,301.52
6. Step 6: Final answer
   x = 1,073.58