Finding the Fourth Proportional to 10,377.60, 15,562.56 and 3,802.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.60 : 15,562.56 = 3,802.08 : x
2. Step 2: Convert to fraction form
   10,377.60/15,562.56 = 3,802.08/x
3. Step 3: Cross multiply
   10,377.60x = 15,562.56 × 3,802.08
4. Step 4: Simplify right side
   10,377.60x = 59,170,098.12
5. Step 5: Solve for x
   x = 59,170,098.12/10,377.60
6. Step 6: Final answer
   x = 5,701.71