Finding the Fourth Proportional to 1,009.93, 1,513.32 and 971.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.93 : 1,513.32 = 971.98 : x
2. Step 2: Convert to fraction form
   1,009.93/1,513.32 = 971.98/x
3. Step 3: Cross multiply
   1,009.93x = 1,513.32 × 971.98
4. Step 4: Simplify right side
   1,009.93x = 1,470,916.77
5. Step 5: Solve for x
   x = 1,470,916.77/1,009.93
6. Step 6: Final answer
   x = 1,456.45