Finding the Fourth Proportional to 2,158.63, 3,237.47 and 772.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.63 : 3,237.47 = 772.06 : x
2. Step 2: Convert to fraction form
   2,158.63/3,237.47 = 772.06/x
3. Step 3: Cross multiply
   2,158.63x = 3,237.47 × 772.06
4. Step 4: Simplify right side
   2,158.63x = 2,499,522.72
5. Step 5: Solve for x
   x = 2,499,522.72/2,158.63
6. Step 6: Final answer
   x = 1,157.92