Finding the Fourth Proportional to 7,852.64, 10,830.96 and 5,580.32

Step by Step Solution

1. Step 1: Write the proportion equation
   7,852.64 : 10,830.96 = 5,580.32 : x
2. Step 2: Convert to fraction form
   7,852.64/10,830.96 = 5,580.32/x
3. Step 3: Cross multiply
   7,852.64x = 10,830.96 × 5,580.32
4. Step 4: Simplify right side
   7,852.64x = 60,440,222.71
5. Step 5: Solve for x
   x = 60,440,222.71/7,852.64
6. Step 6: Final answer
   x = 7,696.80