Finding the Fourth Proportional to 9,875.64, 14,796.18 and 5,763

Step by Step Solution

1. Step 1: Write the proportion equation
   9,875.64 : 14,796.18 = 5,763 : x
2. Step 2: Convert to fraction form
   9,875.64/14,796.18 = 5,763/x
3. Step 3: Cross multiply
   9,875.64x = 14,796.18 × 5,763
4. Step 4: Simplify right side
   9,875.64x = 85,270,385.34
5. Step 5: Solve for x
   x = 85,270,385.34/9,875.64
6. Step 6: Final answer
   x = 8,634.42