Finding the Fourth Proportional to 1,147.83, 1,584.01 and 623.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.83 : 1,584.01 = 623.86 : x
2. Step 2: Convert to fraction form
   1,147.83/1,584.01 = 623.86/x
3. Step 3: Cross multiply
   1,147.83x = 1,584.01 × 623.86
4. Step 4: Simplify right side
   1,147.83x = 988,200.48
5. Step 5: Solve for x
   x = 988,200.48/1,147.83
6. Step 6: Final answer
   x = 860.93