Finding the Fourth Proportional to 7,005.83, 9,657.86 and 5,012.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.83 : 9,657.86 = 5,012.96 : x
2. Step 2: Convert to fraction form
   7,005.83/9,657.86 = 5,012.96/x
3. Step 3: Cross multiply
   7,005.83x = 9,657.86 × 5,012.96
4. Step 4: Simplify right side
   7,005.83x = 48,414,392.51
5. Step 5: Solve for x
   x = 48,414,392.51/7,005.83
6. Step 6: Final answer
   x = 6,910.59