Finding the Fourth Proportional to 864.42, 1,301.34 and 787.89

Step by Step Solution

1. Step 1: Write the proportion equation
   864.42 : 1,301.34 = 787.89 : x
2. Step 2: Convert to fraction form
   864.42/1,301.34 = 787.89/x
3. Step 3: Cross multiply
   864.42x = 1,301.34 × 787.89
4. Step 4: Simplify right side
   864.42x = 1,025,312.77
5. Step 5: Solve for x
   x = 1,025,312.77/864.42
6. Step 6: Final answer
   x = 1,186.13