Finding the Fourth Proportional to 1,383.06, 1,907.37 and 916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.06 : 1,907.37 = 916.50 : x
2. Step 2: Convert to fraction form
   1,383.06/1,907.37 = 916.50/x
3. Step 3: Cross multiply
   1,383.06x = 1,907.37 × 916.50
4. Step 4: Simplify right side
   1,383.06x = 1,748,104.61
5. Step 5: Solve for x
   x = 1,748,104.61/1,383.06
6. Step 6: Final answer
   x = 1,263.94