Finding the Fourth Proportional to 1,538.47, 2,307.63 and 846.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.47 : 2,307.63 = 846.49 : x
2. Step 2: Convert to fraction form
   1,538.47/2,307.63 = 846.49/x
3. Step 3: Cross multiply
   1,538.47x = 2,307.63 × 846.49
4. Step 4: Simplify right side
   1,538.47x = 1,953,385.72
5. Step 5: Solve for x
   x = 1,953,385.72/1,538.47
6. Step 6: Final answer
   x = 1,269.69