Finding the Fourth Proportional to 2,592.47, 3,886.36 and 947.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.47 : 3,886.36 = 947.86 : x
2. Step 2: Convert to fraction form
   2,592.47/3,886.36 = 947.86/x
3. Step 3: Cross multiply
   2,592.47x = 3,886.36 × 947.86
4. Step 4: Simplify right side
   2,592.47x = 3,683,701.02
5. Step 5: Solve for x
   x = 3,683,701.02/2,592.47
6. Step 6: Final answer
   x = 1,420.93