Finding the Fourth Proportional to 1,577.27, 2,176.31 and 947.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.27 : 2,176.31 = 947.63 : x
2. Step 2: Convert to fraction form
   1,577.27/2,176.31 = 947.63/x
3. Step 3: Cross multiply
   1,577.27x = 2,176.31 × 947.63
4. Step 4: Simplify right side
   1,577.27x = 2,062,321.03
5. Step 5: Solve for x
   x = 2,062,321.03/1,577.27
6. Step 6: Final answer
   x = 1,307.53