Finding the Fourth Proportional to 9,432.10, 13,015.69 and 5,655.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,432.10 : 13,015.69 = 5,655.57 : x
2. Step 2: Convert to fraction form
   9,432.10/13,015.69 = 5,655.57/x
3. Step 3: Cross multiply
   9,432.10x = 13,015.69 × 5,655.57
4. Step 4: Simplify right side
   9,432.10x = 73,611,145.89
5. Step 5: Solve for x
   x = 73,611,145.89/9,432.10
6. Step 6: Final answer
   x = 7,804.32