Finding the Fourth Proportional to 10,588.64, 14,611.52 and 5,807.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.64 : 14,611.52 = 5,807.80 : x
2. Step 2: Convert to fraction form
   10,588.64/14,611.52 = 5,807.80/x
3. Step 3: Cross multiply
   10,588.64x = 14,611.52 × 5,807.80
4. Step 4: Simplify right side
   10,588.64x = 84,860,785.86
5. Step 5: Solve for x
   x = 84,860,785.86/10,588.64
6. Step 6: Final answer
   x = 8,014.32