Finding the Fourth Proportional to 3,807.30, 5,714.00 and 3,685.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,807.30 : 5,714.00 = 3,685.80 : x
2. Step 2: Convert to fraction form
   3,807.30/5,714.00 = 3,685.80/x
3. Step 3: Cross multiply
   3,807.30x = 5,714.00 × 3,685.80
4. Step 4: Simplify right side
   3,807.30x = 21,060,642.77
5. Step 5: Solve for x
   x = 21,060,642.77/3,807.30
6. Step 6: Final answer
   x = 5,531.65