Finding the Fourth Proportional to 1,156.42, 1,596.52 and 764.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.42 : 1,596.52 = 764.58 : x
2. Step 2: Convert to fraction form
   1,156.42/1,596.52 = 764.58/x
3. Step 3: Cross multiply
   1,156.42x = 1,596.52 × 764.58
4. Step 4: Simplify right side
   1,156.42x = 1,220,667.26
5. Step 5: Solve for x
   x = 1,220,667.26/1,156.42
6. Step 6: Final answer
   x = 1,055.56