Finding the Fourth Proportional to 2,591.02, 3,886.50 and 946.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.02 : 3,886.50 = 946.98 : x
2. Step 2: Convert to fraction form
   2,591.02/3,886.50 = 946.98/x
3. Step 3: Cross multiply
   2,591.02x = 3,886.50 × 946.98
4. Step 4: Simplify right side
   2,591.02x = 3,680,437.77
5. Step 5: Solve for x
   x = 3,680,437.77/2,591.02
6. Step 6: Final answer
   x = 1,420.46